length n = 69
dimension k = 3
alphabet length q = 2

minimum distance d = 39

generator matrix:
001001001001001001001001001001011011011011011011011011011011111111111
010010010010010010010010010010101101101101101101101101101101111111111
100100100100100100100100100100110110110110110110110110110110111111111

projective group of automorphisms generated by:
001
100
010

010
100
001