A compound which is a peptide comprising the amino acid sequence of formula: X1-X2-X3-X4-X5-X6-X7-X8-X9-X10-X11-X12-X13-X14-X15-X16-X17-X18-X19-X20- X21 - X22- X23- X24- X25- X26- X27 - X28- X29- X30- X31 - X32 - X33- X34- X35-X36-X37-X38 wherein X1 is isoleucine or phenylalanine; X2 is valine or threonine; X3 is leucine; X4 is serine; X5 is leucine; X6 is aspartate; X7 is valine or D-valine (v); X8 is proline; X9 is isoleucine or threonine; X10 is lysine, glutamate, histidine or glycine; X11 is isoleucine or leucine; X12 is lysine, wherein the epsilon-amino group of the lysine side chain is covalently bound to an albumin-binding moiety X13 is glutamine or lysine; X14 is isoleucine, lysine or 2-aminoisobutyric acid (Aib); X15 is leucine; X16 is leucine or phenylalanine; X17 is glutamate or lysine; X18 is glutamine; X19 is alanine, glutamate or glutamine; X20 is lysine or arginine; X21 is glutamine or lysine; X22 is lysine, arginine or glutamate; X23 is lysine or 2-aminoisobutyric acid (Aib); X24 is glutamine, 2-aminoisobutyric acid (Aib), leucine or glutamate; X25 is arginine, lysine or 2-aminoisobutyric acid (Aib); X26 is alanine, glutamate, 2-aminoisobutyric acid (Aib) or glutamine; X27 is glutamine, 2-aminoisobutyric acid (Aib) or lysine; X28 is alanine; X29 is glutamate or lysine; X30 is lysine or threonine; X31 is asparagine or alanine; X32 is lysine, alanine, valine, threonine, glutamate or 2-aminoisobutyric acid (Aib); X33 is arginine, lysine or glutamine; X34 is isoleucine or leucine; X35 is leucine; X36 is alanine or glutamate; X37 is glutamine or arginine; and X38 is isoleucine or valine; or a pharmaceutically acceptable salt thereof; wherein the albumin-binding moiety is a group of the formula: -Z 1 -Y-Z 2 -C R 1 wherein Y is AEEA, {AEEA} 2, {AEEA} 3, Gly, {Gly} 2, {Gly} 3, N-MeGly, {N-MeGly} 2, {N-MeGly} 3 or absent when Z 2 is gGlu, or {gGlu} 2, wherein AEEA denotes [2-(2-aminoethoxy)ethoxy]-acetyl; Z 1 and Z 2 are each independently selected from gGlu, {gGlu}2, {gGlu}3, {gGlu}4 or absent, wherein Z 1 is absent when Y is {AEEA} 2 and Z 2 is gGlu or {gGlu} 2; and R 1 is -(CH 2) x COOH or -(CH 2) x CH 3, wherein x is an integer from 12 to 22. X1 is isoleucine or phenylalanine; X2 is valine or threonine; X3 is leucine; X4 is serine; X5 is leucine; X6 is aspartate; X7 is valine or D-valine (v); X8 is proline; X9 is isoleucine or threonine; X10 is lysine, glutamate, histidine or glycine; X11 is isoleucine or leucine; X12 is lysine, wherein the epsilon-amino group of the lysine side chain is covalently bound to an albumin-binding moiety X13 is glutamine or lysine; X14 is isoleucine, lysine or 2-aminoisobutyric acid (Aib); X15 is leucine; X16 is leucine or phenylalanine; X17 is glutamate or lysine; X18 is glutamine; X19 is alanine, glutamate or glutamine; X20 is lysine or arginine; X21 is glutamine or lysine; X22 is lysine, arginine or glutamate; X23 is lysine or 2-aminoisobutyric acid (Aib); X24 is glutamine, 2-aminoisobutyric acid (Aib), leucine or glutamate; X25 is arginine, lysine or 2-aminoisobutyric acid (Aib); X26 is alanine, glutamate, 2-aminoisobutyric acid (Aib) or glutamine; X27 is glutamine, 2-aminoisobutyric acid (Aib) or lysine; X28 is alanine; X29 is glutamate or lysine; X30 is lysine or threonine; X31 is asparagine or alanine; X32 is lysine, alanine, valine, threonine, glutamate or 2-aminoisobutyric acid (Aib); X33 is arginine, lysine or glutamine; X34 is isoleucine or leucine; X35 is leucine; X36 is alanine or glutamate; X37 is glutamine or arginine; and X38 is isoleucine or valine; or a pharmaceutically acceptable salt thereof; wherein the albumin-binding moiety is a group of the formula: -Z 1 -Y-Z 2 -C R 1 wherein Y is AEEA, {AEEA} 2, {AEEA} 3, Gly, {Gly} 2, {Gly} 3, N-MeGly, {N-MeGly} 2, {N-MeGly} 3 or absent when Z 2 is gGlu, or {gGlu} 2, wherein AEEA denotes [2-(2-aminoethoxy)ethoxy]-acetyl; Z 1 and Z 2 are each independently selected from gGlu, {gGlu}2, {gGlu}3, {gGlu}4 or absent, wherein Z 1 is absent when Y is {AEEA} 2 and Z 2 is gGlu or {gGlu} 2; and R 1 is -(CH 2) x COOH or -(CH 2) x CH 3, wherein x is an integer from 12 to 22. Y is AEEA, {AEEA} 2, {AEEA} 3, Gly, {Gly} 2, {Gly} 3, N-MeGly, {N-MeGly} 2, {N-MeGly} 3 or absent when Z 2 is gGlu, or {gGlu} 2, wherein AEEA denotes [2-(2-aminoethoxy)ethoxy]-acetyl; Z 1 and Z 2 are each independently selected from gGlu, {gGlu}2, {gGlu}3, {gGlu}4 or absent, wherein Z 1 is absent when Y is {AEEA} 2 and Z 2 is gGlu or {gGlu} 2; and R 1 is -(CH 2) x COOH or -(CH 2) x CH 3, wherein x is an integer from 12 to 22.