length n = 228
dimension k = 9
alphabet length q = 3

minimum distance d = 135

generator matrix:
000000001000000000000000000000000000000111111111111111111111111000000000000000000000000111111111111000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111000011111111111111111
000000010000000000000000111111111111111000000000000000111111111000000000000000111111111000000000122000111111111111111111111000000000000000000000111111111111111111111111111222222222222222222222222222222222222011100011222111111122
000000100000000111111111000000000111111000000000111111000000111000000000111111000000122000000122000111000111111112222222222000111111112222222222000000001111112222222222222000000000011111111111112222222222222101201202012111111212
000001000000111000111111000111111000000000000111000111000111000000111111000000000000212000122000000122122011122220011112222122011222220011111222011222220022220000011112222001111122200000111122220001111222222221002120102111112112
000010000011001111000111001000011000111001111011000000011001000111000122000000000122000000000212000212212202211221200111122212122011221101122022222011222200220112200110022120112202201122002211110220022001111202121020210111121112
000100000101111001011001010001101001001110011000011000101000001122000000000122122000000000212000000212221220201012112122211111222122011220211202222201122201011120202020202211220120220211220000222021111110011112020102120111211112
001000000111110011101000101110000010010010101100001001010010010000000212122000212000000122000000000111122122210221121200211212201122222112002111201210200110222212221202200212221211122001220122001110202010101210210220021112111112
010000000111011110100010110010100110000101010001100010100100100000122000000212000212000212000000000122111122222102212021102221210202101221222111210222121022101022012022020122012011112222012202021112200101010120112002201121111112
100000000110100100010100111101010101100111100110110100000000000212212000212000000000000000000000212221221222022111221212020221222220112112120220122122012222002201120201111112101222012210101020202202020111100022222211000211111112

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

100000000
000010000
000000010
010000000
000000100
000000001
000001000
000100000
001000000