length n = 15
dimension k = 8
alphabet length q = 3

minimum distance d = 5

generator matrix:
000001011111111
001000011112222
000010011221122
000000112121212
010000011222211
000100012122121
100000012211221
000000012212112

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

10000000
01000000
00200000
00010000
00002000
00000100
00000020
00000002