length n = 225
dimension k = 6
alphabet length q = 4

minimum distance d = 162

generator matrix:
000001111100000000000000011111111111111100000000001111111111000001111100000000001111111111111111111100000000001111111111111111111100000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
001110001100000011111111100000000011223300001111110000002233001110001100111111110000000011111122233300111111110000000011111122233311111000001111111122222233333311111112222333311111111222222222223333333333311112222222233333333
010110110000011100011223300011223300000000110022330022330000110010010111001122330011223300111200100311001111230011112300002201103312233122330111223300112200113311122231112133311122333112223333331112222223322331122333311222233
110011000111112300002010312300000002010311230003022300000302011100110012110211031211010302002001133013230112031300221301120110000321113112132022020312110133330112211231121313322323223111331122231331223331223233313122322123312
101101010012300012320103021302010300000023002330203203020000110101001011122001332102103311020110003023131021101312011020200010133021233221331202113321021013031021212131211331323211133233132312332232121232133222331313223231221
111000101021321321300000000020103020103032323200000030203020101011100021211110301120113020200011030313132200132321100312011001030012131211312220203011201131303322121132111333132232232321121313212321133213332323233231132312122

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

010000
001000
100000
000010
000001
000100