length n = 216
dimension k = 6
alphabet length q = 4

minimum distance d = 156

generator matrix:
000000000011111000000000000000111111111111111000000000011111111110000011111000000000011111111111111111111000001111111111111111111111111000001111111111111111111111111111111111111111111111111111111111111111111111111111
000000111100001000000111111111000000000112233000011111100000022330011100011001111111100000000111111222333111110000011111111222222333333111110000011112222222233333333111111112222333311111111222222222223333333333312233
000111000100010000111000112233000112233000000001100223300223300001100100101110011112300111123000033022011122331223301112233001122001133122331223303330022233300111222111123331222111311122233111223333331122222233321323
011001001000100111123123000000000030201030201112323000000030203020101111000121200332123011320011301200001112133121130330203120222110311323122132320221301103323022033113321132122113123323323233221112232311122311333221
101010010001000123000321030201123302010000000230032030223302000001110001010321213010121103101303000202110322313221313032211212001133001213232313233033230320221202101131321312212131132321211323131231333212323212223132
110100100010000321321000302010321000000302010323200302032000030201011010100123231102021330021130110020100321111213133302030222210311110231323322122203133011032330220133123112221311133233232221313212321132113321232312

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

010000
000001
000010
001000
000100
100000