length n = 162
dimension k = 3
alphabet length q = 4

minimum distance d = 123

generator matrix:
010101010101010100000000101010101010101010101010101010101010101010101011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000000000000011111111111111111111111131313131313131312121212121212120000000000000000000000111111113131313131313131212121212121212222222223232323232323233333333
101010101010101000000001010101010101010202020202020202030303030303030301111112323232323232323111111123232323232323233232323232323232111111132323232323232321111111

projective group of automorphisms generated by:
001
010
100

100
010
001