length n = 15
dimension k = 5
alphabet length q = 3

minimum distance d = 8

generator matrix:
001101111111111
012211200011222
100022100011202
020120212212211
021012021221211

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

00001
01000
00100
10000
00010