length n = 51
dimension k = 6
alphabet length q = 3

minimum distance d = 31

generator matrix:
000000000000111111111111000000111111111111111111111
000011111111000000001122000111000122111122122112222
001100000012002222220202111122000000111212111121112
110000222222000000122010122000122000112112122211222
121212001200120012000000212000000212121112212222121
212121120000211200000000000212212000211112212222211

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

000001
010000
000010
000100
001000
100000