length n = 12
dimension k = 8
alphabet length q = 4

minimum distance d = 2

generator matrix:
000000000111
000000111000
000000000123
000111000000
111000000000
000123000000
123000000000
000000123000

projective group of automorphisms generated by:
00010000
00001000
00000100
01000000
00100000
00000001
10000000
00000010

10000000
03000000
00200000
00030000
00001000
00000100
00000010
00000003