length n = 84
dimension k = 6
alphabet length q = 3

minimum distance d = 54

generator matrix:
011111011111000000000011111111111111111111111111111111111111111111111111111111111111
101111101111111111111100000000001111111111111111222222222222222222222222111111222222
110111110111111122222211112222220000111222222222000000111111111222222222111222111222
111011111011122211122212221112221222022000112222111222000112222000111122112122122112
111101111101212212211221221221122122202122020012122112122020012112001201112212212121
111110111110221221212122122121212212220212201200212121212201200121120010112221221211

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

000100
100000
001000
010000
000010
000001

000010
100000
001000
000100
010000
000001

000001
100000
001000
000100
000010
010000