length n = 24
dimension k = 8
alphabet length q = 4

minimum distance d = 6

generator matrix:
000000011111111111111111
000000101111112311111123
000001001111121311111213
000010001111211311112113
000100001112111311121113
001000001121111311211113
010000001211111312111113
100000002111111321111113

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

01000000
10000000
00100000
00010000
00001000
00000100
00000010
00000001