length n = 214
dimension k = 6
alphabet length q = 3

minimum distance d = 139

generator matrix:
0000011111000001111100000000000000011111111111111100000000000000011111111111111100000000000000011111111111111100000000001111111111111111111101111100000111111111111111111111111111111111111111111111111111111111111111
0011100011001110001100000011111111100000000011222200000011111111100000000011222200000011111111100000000011222200111111110000000011111122222210111111111000001111111122222222222211111221111221111111222222221111222222
0101101100010110110000011100011222200011222200000000011100011222200011222200000011111100000012200000012202001211001111220011112200002200112211011111122111220002222200111112222211112121112121112222111122221222111222
1110000101111000010111112212200000000002001202001211112212200000000002001202001200012200012221211222200000000012120022122201120201120102010011101122212122221220112222011220001111121121121121221122112211222122122112
1100110010110011001012221200002001212200000020120012221200002001212200000020120012200012221200002001221200000012221201021220201210211010000211110112222222122121021211202001120211211121211122121212121212122212212121
1011011000101101100021200021220120021220120000000021200021220120021220120000000021221221200000020120000020120022122110101212011022000012102011111021211212112222200012120121212012111122111122212112211212212221221211

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

001000
000100
000001
100000
000010
010000