length n = 78
dimension k = 4
alphabet length q = 2

minimum distance d = 40

generator matrix:
000000000000000000000000000000000000011111111111111111111111111111111111111111
000000000000000011111111111111111111100000000000000000000011111111111111111111
000000111111111100000000001111111111100000000000111111111100000000001111111111
111111000001111100000111110000011111100000111111000001111100000111110000011111

projective group of automorphisms generated by:
1000
0100
0010
0001