length n = 125
dimension k = 4
alphabet length q = 2

minimum distance d = 66

generator matrix:
00000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111111111111
00000000000000000000000011111111111111111111111111111111100000000000000000000000000000000011111111111111111111111111111111111
00000000111111111111111100000000000000000111111111111111100000000000000001111111111111111100000000000000000011111111111111111
11111111000000001111111100000000111111111000000001111111100000000111111110000000011111111100000000011111111100000000111111111

projective group of automorphisms generated by:
1000
0100
0010
0001

1000
0100
0010
0001