length n = 12
dimension k = 9
alphabet length q = 3

minimum distance d = 2

generator matrix:
000000001111
000000010111
000000100111
000001000111
000010000111
000100000111
001000000111
010000000111
100000000111

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

010000000
100000000
001000000
000100000
000010000
000001000
000000100
000000010
000000001