length n = 15
dimension k = 8
alphabet length q = 4

minimum distance d = 2

generator matrix:
000000100001000
000000000000111
000001000010000
000010000100000
000000000000123
000100001000000
001000010000000
110000000000000

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

10000000
03000000
00200000
00020000
00001000
00000100
00000010
00000001