length n = 250
dimension k = 3
alphabet length q = 2

minimum distance d = 142

generator matrix:
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
0000000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111111111111111
1111111111111111111111111111111111110000000000000000000000000000000000001111111111111111111111111111111111110000000000000000000000000000000000001111111111111111111111111111111111100000000000000000000000000000000000011111111111111111111111111111111111

projective group of automorphisms generated by:
100
010
001

100
010
001