length n = 15
dimension k = 7
alphabet length q = 7

minimum distance d = 4

generator matrix:
000000101111111
000001010111111
000010011011111
000100011101111
001000011110111
010000011111011
100000011111101

projective group of automorphisms generated by:
0000001
1000000
0100000
0010000
0001000
0000100
0000010

0100000
1000000
0010000
0001000
0000100
0000010
0000001