length n = 69
dimension k = 4
alphabet length q = 5

minimum distance d = 53

generator matrix:
000000000011111111111111111111111111111111111111111111111111111111111
011011111100020030040130140240230330340441221231341241342223224234244
101102122400200300401301402403023034034042123123414124132232242423424
110230134302003004003014014022303303404402212314132413412322422342442

projective group of automorphisms generated by:
1000
0010
0001
0100

1000
0010
0001
0100