length n = 7
dimension k = 6
alphabet length q = 2

minimum distance d = 2

generator matrix:
0111111
1011111
1101111
1110111
1111011
1111101

projective group of automorphisms generated by:
000001
100000
010000
001000
000100
000010

010000
100000
001000
000100
000010
000001