Document:

Cox Communications, Inc.
Cox @Home, Inc.
At Home Corporation
July 7, 1999

                                   AT&T Corp.
                              295 North Maple Ave.
                             Basking Ridge, NJ 07920

                                  July 7, 1999

Cox Communications, Inc.
Cox @Home, Inc.
1400 Lake Hearn Drive, NE
Atlanta, GA  30319

At Home Corporation
425 Broadway Street
Redwood City, CA  94063

         Re:      At Home Corporation Master Distribution Agreement Term Sheet
                  dated May 15, 1997

Ladies and Gentlemen:

         1. Reference is hereby made to the letter agreement dated April 7, 1999
from AT&T Corp.  ("AT&T") to Cox  Communications,  Inc., Cox @ Home, Inc. and At
Home  Corporation  (the  "Letter  Agreement")  and  the  Agreement  and  Plan of
Reorganization dated as of July 7, 1999 among Cox Teleport Partners, Inc., AT&T,
TCI Holdings, Inc.and United Television Corporation (the "Reorganization
Agreement").

         2.  Effective  upon  the  Closing  (as  defined  in the  Reorganization
Agreement), the Letter Agreement shall be amended as follows:

                  (a)  Paragraphs  3 and 4 of  the  Letter  Agreement  shall  be
amended by deleting each reference therein to the number "277,000" and replacing
it with the number "250,000".

                  (b) Clause (a) of the first  sentence  of  paragraph  3 of the
Letter  Agreement  is hereby  amended by deleting the  reference  therein to the
number "10" and replacing it with the number "11.5".

         3. As of the date  hereof  and as of the  Closing  (as  defined  in the
Reorganization  Agreement),   each  party  hereto  hereby  makes  the  following
representations, warranties and covenants to each of the other parties hereto:

                  (a) Such  party has the legal  right and  requisite  power and
authority to make and enter into this letter agreement (this "Amendment") and to
perform its obligations  hereunder and to comply with the provisions hereof. The
execution,  delivery and  performance  of this  Amendment by such party has been
duly  authorized by all necessary  action on its party.  This Amendment has been
duly executed and delivered by such party and  constitutes the valid and binding

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Cox Communications, Inc.
Cox@Home, Inc.
July 7, 1999
Page 2

obligation of such party  enforceable  against it in accordance  with its terms,
except as such enforcement may be limited by applicable bankruptcy,  insolvency,
moratorium or other similar laws affecting the rights of creditors generally and
except  that  the  availability  of  equitable   remedies,   including  specific
performance,  is  subject  to the  discretion  of the  court  before  which  any
proceeding therefor may be brought.

                  (b) The execution,  delivery and performance of this Amendment
by such party, and the compliance by such party with the provisions  hereof,  do
not and will not (with or  without  notice or lapse of time,  or both)  conflict
with, or result in any violation of, or default under, or give rise to any right
of termination,  cancellation or acceleration of any obligation or the lessening
of a material benefit under, any loan or credit agreement, note, bond, mortgage,
indenture, lease or other agreement, instrument, permit, concession,  franchise,
license,  judgment,  order, decree, statute, law, ordinance,  rule or regulation
applicable to such party or any of its  properties  or assets  (excluding in the
case of any  Stockholder,  the  properties  or  assets  of the  Company  and its
Subsidiaries),  other than any such conflicts,  violations,  defaults,  or other
effects which,  individually  or in the aggregate,  do not and will not prevent,
restrict  or  impede  such  party's  performance  of its  obligations  under and
compliance with the provisions of this Amendment.  If such party is an entity or
association,  the execution,  delivery and performance of this Amendment by such
party  does  not  and  will  not  contravene   the  charter,   bylaws  or  other
organizational documents of such party.

                  (c) No  consent,  approval,  order  or  authorization  of,  or
registration,  declaration  or  filing  with,  any  governmental  or  regulatory
authority or any other Person (other than any of the  foregoing  which have been
obtained  and, at the date in  question,  are then in effect) is required  under
existing laws as a condition to the  execution,  delivery or performance of this
Amendment by such party.

                  (d) Each  member of such  party's  Stockholder  Group and each
Ultimate Parent and any Controlled  Affiliate  thereof,  in each case which owns
securities of the Company, is a signatory hereto.

         4. The Letter Agreement, as amended by this Amendment,  shall remain in
full force and effect in  accordance  with its terms and all  references  in the
Letter Agreement to "this Agreement" and words of similar import shall be deemed
to mean the Letter Agreement as amended by this Amendment. If the Reorganization
Agreement is terminated in accordance  with its terms,  this Amendment  shall be
terminated  and the Letter  Agreement,  as in effect on the date  hereof,  shall
remain in full force and effect.

         5.       Miscellaneous

                  (a)  Nothing in this  Amendment,  whether  express or implied,
shall be construed to give any Person,  other than the parties hereto, any legal
or equitable right, remedy or claim under or in respect of this Amendment.

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Cox Communications, Inc.
Cox@Home, Inc.
July 7, 1999
Page 3

                  (b) This  Amendment  shall be governed  by, and  construed  in
accordance  with,  the laws of the  State of New  York,  without  regard  to the
conflicts of law rules of such State.

                  (c)  This   Amendment   may  be   executed   in  two  or  more
counterparts,  each of  which  shall  be  deemed  an  original  and all of which
together shall constitute one and the same instrument.

                  (d) If one or more provisions of this Amendment are held to be
unenforceable  under  applicable  law,  portions  of  such  provisions,  or such
provisions in their  entirety,  to the extent  necessary,  shall be severed from
this  Amendment,  and the  balance of this  Amendment  shall be  enforceable  in
accordance with its terms.

                  (e)  The  section  headings  used in  this  Amendment  are for
reference  purposes only and shall not affect the meaning or  interpretation  of
any term or provision of this Amendment.

                  (f) Without  intending to limit the remedies  available to any
of the parties hereto, each of the parties hereto acknowledges and agrees that a
breach by such party of any provision of Section 2 of this  Amendment will cause
the other parties hereto  irreparable injury for which an adequate remedy at law
is not available.  Therefore,  the parties hereto agree that in the event of any
such breach each such party  shall be  entitled  to an  injunction,  restraining
order or other form of equitable relief from any court of competent jurisdiction
restraining  any other party  hereto from  committing  any breach or  threatened
breach of, or  otherwise  specifically  to enforce,  any such  provision of this
Amendment,  in addition to any other  remedies that such parties may have at law
or in equity.

                  (h) Capitalized terms used, but not defined, herein shall have
the meanings ascribed to such terms in the Letter Agreement.

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Cox Communications, Inc.
Cox@Home, Inc.
July 7, 1999
Page 4

         If the  foregoing  correctly  sets forth our  understanding,  please so
indicate  by  signing  below.   Upon  execution  and  delivery  by  all  of  the
undersigned, this Amendment shall become a legal and binding agreement among the
parties hereto.

                                            AT&T Corp.

                                            By:
                                            Name:
                                            Title:

                                            Tele-Communications, Inc.

                                            By:
                                            Name:
                                            Title:

Agreed and Accepted as of the date hereof:

Cox Communications, Inc.

By:
Name:
Title:

Cox @Home, Inc.

By:
Name:
Title:
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Cox Communications, Inc.
Cox@Home, Inc.
July 7, 1999
Page 5

At Home Corporation

By:
Name:
Title:JOINT FILING AGREEMENT

         In accordance  with Rule 13d-1(f) under the Securities  Exchange Act of
1934, as amended,  the undersigned hereby agree to the joint filing on behalf of
each of them of a statement on Schedule 13D (i Exhibit 10.16ncluding  amendments
thereto)  or any  subsequent  filings  on  Schedule  13G  (including  amendments
thereto) with respect to the Series A Common  Stock,  par value $0.01 per share,
of At Home  Corporation,  and that this Joint Filing Agreement be included as an
Exhibit to such joint filing.

         This  Joint   Filing   Agreement   may  be  executed  in  one  or  more
counterparts,  and each such counterpart  shall be an original but all of which,
taken together, shall constitute but one and the same instrument.

         IN WITNESS WHEREOF, the undersigned hereby execute this Agreement as of
this 31st day of May, 2000.

                                        COX ENTERPRISES, INC.

                                        By:  /s/ Andrew A. Merdek
                                             --------------------
                                             Andrew A. Merdek
                                             Secretary

                                        COX HOLDINGS, INC.

                                        By:  /s/ Andrew A. Merdek
                                             --------------------
                                             Andrew A. Merdek
                                             Secretary

                                        COX COMMUNICATIONS, INC.

                                        By:  /s/ Andrew A. Merdek
                                             --------------------
                                             Andrew A. Merdek
                                             Secretary

                                        COX @HOME, INC.

                                        By:  /s/ Andrew A. Merdek
                                             --------------------
                                             Andrew A. Merdek
                                             Secretary

                                        /s/ Anne Cox Chambers
                                        ---------------------
                                        Anne Cox Chambers

                                        /s/ Barbara Cox Anthony
                                        -----------------------
                                        Barbara Cox Anthony

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