length n = 70
dimension k = 4
alphabet length q = 2

minimum distance d = 36

generator matrix:
0000000000000000000000000000001111111111111111111111111111111111111111
0000000000001111111111111111110000000000000000000011111111111111111111
0000111111110000000001111111110000000000111111111100000000001111111111
1111000011110000011110000011110000011111000001111100000111110000011111

projective group of automorphisms generated by:
1000
0100
0010
0001