length n = 81
dimension k = 3
alphabet length q = 4

minimum distance d = 61

generator matrix:
010101010000010101010101010101010101111111111111111111111111111111111111111111111
000000001111111111111313131312121212000000000111113131313121212122222232323233333
101010100000101010102020202030303030123232323111123232323323232321111323232321111

projective group of automorphisms generated by:
001
010
100

100
010
001