length n = 71
dimension k = 3
alphabet length q = 2

minimum distance d = 40

generator matrix:
00100100100100100100100100100100101101101101101101101101101111111111111
01001001001001001001001001001001010110110110110110110110110111111111111
10010010010010010010010010010010011011011011011011011011011011111111111

projective group of automorphisms generated by:
001
100
010

010
100
001