length n = 54
dimension k = 6
alphabet length q = 4

minimum distance d = 36

generator matrix:
000000000111111111111111111111111111111111111111111111
001111111000000000011111111111111122222223333333333033
110012233000122223300011112222333300222230011222333033
232212213023312223322202230023022302023312302123033111
110320222323020122302200321122203230131220101323203300
232203223122232113220331010112210101312301220021313111

projective group of automorphisms generated by:
122010
002133
222011
330121
102101
311012