length n = 8
dimension k = 6
alphabet length q = 2

minimum distance d = 2

generator matrix:
00000111
00001011
00010011
00100011
01000011
10000011

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

010000
100000
001000
000100
000010
000001