length n = 12
dimension k = 5
alphabet length q = 2

minimum distance d = 4

generator matrix:
000010111111
000101011111
001001101111
010001110111
100001111011

projective group of automorphisms generated by:
00100
10000
01000
00010
00001

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000