length n = 40
dimension k = 7
alphabet length q = 7

minimum distance d = 12

generator matrix:
0011110011110000000000000000000000001111
0000000000000000000000001111111111110000
0000000000000000001111110000001234560000
0000000000001111111234560000000000000000
1100161100250000000000000000000000001166
0000000000001234560000001234560000000000
1616002534000000000000000000000000001616

projective group of automorphisms generated by:
0000100
0000010
0100000
0010000
0000001
0001000
1000000

1000000
0600000
0060000
0006000
0000100
0000040
0000006