length n = 226
dimension k = 6
alphabet length q = 4

minimum distance d = 163

generator matrix:
0000011111000000000000000111111111111111000000000011111111110000011111000000000011111111111111111111000001111111111111111111111111000001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
0011100011000000111111111000000000112233000011111100000022330011100011001111111100000000111111222333111110000011111111222222333333111110000011112222222233333333111112223331111111122222222222333333333331111222222223333333312233
0101101100000111000112233000112233000000001100223300223300001100100101110011223300112233001112001003122331223301112233001122001133122331223303330022233300111222112331221131112233311222333333111222222332233112233331122223321323
1100110001111123000020103123000000020103112300030223000003020111001100121102110312110103020020011330211131121320220203121101333301213233231220221303301123033022122131123312232322311133112223133122333122323331312232212331232312
1011010100123000123201030213020103000000230023302032030200001101010010111220013321021033110201100030212332213312021133210210130310231322132333032330320212202101121332211312321113323313231233223212123213322233131322323122123132
1110001010213213213000000000201030201030323232000000302030201010111000212111103011201130202000110303121312113122202030112011313033332212313222203111033032220330122312113133223223232112131321232113321333232323323113231212233221

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

010000
001000
100000
000010
000001
000100