length n = 15
dimension k = 6
alphabet length q = 3

minimum distance d = 6

generator matrix:
010111011111111
101011101111122
101101101112211
111111220011200
111111220100012
011110011112222

projective group of automorphisms generated by:
010000
100000
000001
000100
000010
001000

100000
001000
010000
000010
000100
000001