length n = 40
dimension k = 6
alphabet length q = 5

minimum distance d = 25

generator matrix:
0000011111111111111111111111111111111111
0011100011111111122223333111222233334444
1100100101111222311121333334223411241234
0111001100122112311213133242341133244213
1001111000212121312113313242113424332431
1110010010221211321113331334342224112143

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

001000
000100
000001
000010
010000
100000