length n = 15
dimension k = 5
alphabet length q = 2

minimum distance d = 7

generator matrix:
000010000111111
000100111000111
001001011011001
010001101101010
100001110110100

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000