length n = 70
dimension k = 3
alphabet length q = 5

minimum distance d = 55

generator matrix:
0000000000001111111111111111111111111111111111111111111111111111111111
0101111111110001010202020303040411121212131313141422232323242433343444
1010111232340010102020203030404011212121313131414122323232424233434344

projective group of automorphisms generated by:
100
001
010

100
001
010