length n = 249
dimension k = 6
alphabet length q = 4

minimum distance d = 179

generator matrix:
000001000000000011111111110000000000000001111111111111110000000000111111111100000000001111111111111111111100000000001111111111111111111101111100000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000010000011111100000022330000001111111110000000001122330000111111000000223300111111110000000011111122233300111111110000000011222223333310111111111000001111111122222233333311112311112311112223331111111122222222222333333333331111222222223333333312233
000100001100223300223300001111110000001230000001230201031111000023000023030211001122330011223300111300200111001122330011223300003330022211011112233122330111223300112200113311121311132112331221131112223311122333333112222223332233112233331122223332312
001000112300030223000003020001231122330000001232130000000023223300002332000013110302111311020103003022001123232302032300332223010020100311101121113112132022020312110133330111211311312122131123312332332312213122233111123331222323331312232212331223132
010000230023302032030200001232130201030001230000002010302332030200230000302011133022013103221011030102010032323210102323010100330302202011110121233221331202113321021013031012111313112121332211313232121132331312313232321232123322233131322323122133221
100000323232000000302030202130002010302132132130000000003200302032323200000031311120101130201130300020211023320033223232203032201003010011111012131211312220203011201131303321111331112122312113133323323233222121312322111321133232323323113231212221323

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

010000
001000
100000
000010
000001
000100