length n = 54
dimension k = 6
alphabet length q = 9

minimum distance d = 26

generator matrix:
000000000000001111111111111111111111111111111111111111
000000001111110000001211111111111111112222222222222222
000011110000120000120011111111222222221111111122222222
001100120012000012000011112222111122221111222211112222
001212001200001200000011221122112211221122112211221122
110000000000000000000048484848484848484848484848484848

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

100000
020000
001000
000100
000010
000001

010000
000100
100000
000010
001000
000001

100000
010000
001000
000100
000010
000001