length n = 72
dimension k = 4
alphabet length q = 2

minimum distance d = 38

generator matrix:
000000000000000000000000000000001111111111111111111111111111111111111111
000001010101010101010101111111110000000000010101010101010101011111111111
000011111111111111111111000000000000000000111111111111111111110000000000
111100000000001111111111000011110000011111000000000011111111110000011111

projective group of automorphisms generated by:
1000
0110
0010
0001