length n = 15
dimension k = 5
alphabet length q = 4

minimum distance d = 8

generator matrix:
111111111111111
111231111222333
113211233122113
131213213212131
311213231221311

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

01000
10000
00100
00010
00001