length n = 180
dimension k = 3
alphabet length q = 2

minimum distance d = 102

generator matrix:
000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000000000000000000000001111111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111
111111111111111111111111110000000000000000000000000011111111111111111111111111000000000000000000000000001111111111111111111111111000000000000000000000000001111111111111111111111111

projective group of automorphisms generated by:
100
010
001

100
010
001