length n = 237
dimension k = 4
alphabet length q = 4

minimum distance d = 177

generator matrix:
000100010001000111000111000000111111000000111111000000111111011101110111000111111111000111111111000111111111000111111111000111111111000111111111011101110111011101110111111111111111111111111111111111111111111111111111111111111111111111111
001000100010011001011001001111000023001111000023001111000023101110111011111000112233111000112233111000112233111000112233111000112233111000112233102310231023102310231023111231123112311231123112233112233112222233333112222233333112222233333
010001000100101010101010110023002300110023002300110023002300110111011101123123020103123123020103123123020103123123030201123123030201123123030201230223022302323032303230112131213121313211321231213231213231233312223231233312223231233312223
100010001000110100110100232300230000232300230000232300230000111011101110213213201030213213201030213213201030321321302010321321302010321321302010323032303230230223022302121132113211331213121232131232131323312321232323312321232323312321232

projective group of automorphisms generated by:
0010
1000
0100
0001

0001
1000
0010
0100