length n = 15
dimension k = 5
alphabet length q = 7

minimum distance d = 9

generator matrix:
000111111111111
111112233445566
000162534342516
124111166116666
000164325523461

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

10000
03000
00300
00060
00002