Question: The largest man-made crater in the United States is twelve miles southwest of what lake?

Context paragraphs:
Black Jack Springs, Texas: Black Jack Springs is an ghost town in southwestern Fayette County, Texas, United States.  The community was near Farm Road 609 twelve miles southwest of La Grange in southwestern Fayette County.  Named for the nearby clear springs and blackjack oak trees, Black Jack Springs was settled in the mid-1830s by Anglo pioneers.

Aquilla, Texas: Aquilla ( ) is a city located in Hill County in Central Texas located on Farm Road 933 twelve miles southwest of Hillsboro in southwestern Hill County.  The population was 109 at the 2010 census.

Arditta, Missouri: Arditta is an unincorporated community in southwest Howell County, in the Ozarks of southern Missouri.  Arditta is located on U. S. Route 160 between Egypt Grove and Caulfield.  It is about twelve miles southwest of West Plains.

Hanna, South Dakota: Hanna is a small unincorporated community in Lawrence County, South Dakota, United States.  It is located along the Hanna Road in the Black Hills of South Dakota.  The small settlement or village is south of the Hanna Campground and west-southwest of the Lead Country Club.  The community is located about twelve miles southwest of Lead, South Dakota.

Lake Arrowhead, Georgia: Lake Arrowhead is located approximately two miles (3 km) southwest of Waleska, in the mountainous, west-northwestern part of Cherokee County, Georgia, United States.  Located just east-southeast of Bear Mountain, it is Georgia's second largest man-made, private lake, covering approximately 540 acre and reaching depths of up to 80 ft .

Toyota Park: Toyota Park is a soccer-specific stadium at 71st Street and Harlem Avenue in Bridgeview, Illinois, about twelve miles southwest of downtown Chicago.  It is the home stadium of the Chicago Fire Soccer Club of Major League Soccer (MLS), the Chicago Red Stars of the National Women's Soccer League (NWSL), and the Chicago Bliss of the Legends Football League (LFL).  The stadium has also hosted the Chicago Machine of Major League Lacrosse.  Toyota Park was developed at a cost of around $100 million, with a capacity of 20,000.  The facility opened June 11, 2006.

Ames crater: Ames crater is a meteorite crater (astrobleme) in Major County, Oklahoma, United States.  It is about 3 km north of Ames, Oklahoma and 30 miles southwest of Enid, Oklahoma.  Buried under a thick layer of sediment, it was not discovered until 1991.  Subsequent drilling within the crater, found a large amount of oil and gas.  It is the largest of six oil-producing meteor craters in the United States.

Sedan (nuclear test): Storax Sedan was a shallow underground nuclear test conducted in Area 10 of Yucca Flat at the Nevada National Security Site on July 6, 1962 as part of Operation Plowshare, a program to investigate the use of nuclear weapons for mining, cratering, and other civilian purposes.  The radioactive fallout from the test contaminated more US residents than any other nuclear test.  The Sedan Crater is the largest man-made crater in the United States, and is listed on the National Register of Historic Places.

Nashville, Missouri: Nashville is a small unincorporated community in southwestern Barton County, Missouri.  It is located one mile west of Route 43 about twelve miles southwest of Lamar.

Sedan Crater: Sedan Crater is the result of the Sedan nuclear test and is located within the Nevada Test Site, 12 mi southwest of Groom Lake, Nevada (Area 51).  The crater was listed on the National Register of Historic Places on March 21, 1994.  The crater is a man-made object that can be seen from earth orbit with the unaided eye.

Supporting paragraphs: Sedan (nuclear test) Sedan Crater
Answer: Groom Lake