length n = 216
dimension k = 5
alphabet length q = 3

minimum distance d = 144

generator matrix:
000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
011101110000001111111111111111110000001111111111111111110011111100111111001112220011122200000011111111122222222200000011111111122222222200000011111111122222222200000011111111122222222200111222001112220011122200111222
101210121111110000001111112222221111110000001111112222221100112211001122120120121201201211122200011122200011122211122200011122200011122211122200011122200011122211122200011122200011122212012012120120121201201212012012
000000000011220011220011220011220011220011220011220011221212121212121212000000000000000001201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201211111111111111112222222222222222
000000001202011202011202011202011202011202011202011202011212121212121212000000000000000012012012012012012012012012012012012012012012012020120120120120120120120120120120120120120120120111111111111111112222222222222222

projective group of automorphisms generated by:
20000
01100
01000
00011
00020