length n = 222
dimension k = 9
alphabet length q = 3

minimum distance d = 129

generator matrix:
000000001111000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111000011111111000011111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000001110001000000000111111111111111111111111111000000000000000000000000000111111111111111111111222222222222222222222222011100011222111100001111111111111111222222222222111111111111111111111111222222222222222222222222222222
000110010010111111111000000000111111112222222222000000000111111112222222222000000001111112222222000000000011111112222222101201202012112211220011111111122222001111122222111111111222222222222222111111111111111222222222222222
011000010100111112222111112222000002220000111222000000000111122221111222222111122220000220000112111122222200001120000001221002120102121211221100111222211112221111200122111222222111111222222222111111222222222111111111222222
101000100010112221112000000000112221121222112122111112222002200020112000122112211220022000112000112211112200020000001220202121020210112212121112022011211112110112012222122112222122222111112222112222111122222111112222111122
100011000100121221222112221222000001210000121212112221112220011202000122000020201121212001122000020000120212210001121120112020102120121221121211202111101122121021211022212221222211222112221112121222112211122112221122112211
001101001000221121121221122122121220001112000000121221222120012201000112000201010000021120212122201212001000011220001212210210220021211221122112111211010212121201212201222222112212122221121121212122221111212121221211121212
010010101000212122122121221112221120002122000000212122122001200010122000112020102122100211000212010000120121202121210002120112002201211212121221111102121102122110212210222122221222211221211211221212121212211221121112212121
110100000001000000000212121121212122111121211221221121121212121211212121121202020002200002000000101212002011200001220000022222211000111111112121220120112010121111212222221212122221212122212121222221212122111212212111221111

projective group of automorphisms generated by:
000000001
000000010
000000100
100000000
001000000
010000000
000010000
000001000
000100000

100000000
000010000
000000010
010000000
000000100
000000001
000001000
000100000
001000000