length n = 12
dimension k = 9
alphabet length q = 2

minimum distance d = 2

generator matrix:
000000000111
000000001011
000000010011
000000100011
000001000011
000010000011
000100000011
001000000011
110000000011

projective group of automorphisms generated by:
000001000
001000000
100000000
010000000
000100000
000000010
000010000
000000100
000000001

001000000
010000000
000100000
000010000
000000100
000000010
100000000
000001000
000000001