length n = 15
dimension k = 7
alphabet length q = 4

minimum distance d = 6

generator matrix:
011111111111111
101223311111123
232012311111321
330321211113121
213230211131121
322133011311121
123302113111121

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

0000010
0000001
0001000
0100000
0000100
0010000
1000000