length n = 15
dimension k = 9
alphabet length q = 3

minimum distance d = 2

generator matrix:
011111110111111
000000001001122
101111110111111
110111110111111
111011110111111
111101110111111
111110110111111
111111010111111
111111100111111

projective group of automorphisms generated by:
100000000
010000000
000001000
000000001
001000000
000000100
000100000
000010000
000000010

000001000
010000000
000000100
000100000
000010000
100000000
000000001
000000010
001000000