length n = 31
dimension k = 6
alphabet length q = 5

minimum distance d = 20

generator matrix:
0000011111011111111111111111111
0011100011101111111222233334444
1100100101110111334223411241234
0111001100111011242341133244213
1001111000111101242113424332431
1110010010111110334342224112143

projective group of automorphisms generated by:
100000
000100
000010
000001
010000
001000

001000
000100
000001
000010
010000
100000