length n = 31
dimension k = 5
alphabet length q = 9

minimum distance d = 15

generator matrix:
0000000000011111111111111111111
0000000111100001111222255557777
1111111346834680000000000000000
0000000000000003468346834683468
0003468000000007251517225171725

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

10000
01000
00700
00050
00007