length n = 40
dimension k = 5
alphabet length q = 4

minimum distance d = 28

generator matrix:
0000100001111110011100111111111111111111
0001000110022331100111001122331223311123
0010011232300000202313131102011121322313
0100023320003021032031110320112113112323
1000032003230203210011313022102213321311

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

00100
00010
10000
01000
00001