length n = 72
dimension k = 6
alphabet length q = 3

minimum distance d = 44

generator matrix:
000001111100000000000000011111111111111111111111111111111111111111111111
001110001100000011111111100000000011222211111221111111222222221111222222
010110110000011100011222200011222200000011112121112222111122221222111222
111000010111112212200000000002001202001211121121221122112211222122122112
110011001012221200002001212200000020120011211122121212121212122212212121
101101100021200021220120021220120000000012111122212112211212212221221211

projective group of automorphisms generated by:
100000
001000
000010
000001
000100
010000

001000
000100
000001
100000
000010
010000