length n = 83
dimension k = 3
alphabet length q = 4

minimum distance d = 63

generator matrix:
00000000000000000001111111111111111111111111111111111111111111111111111111111111111
00001111111111111110000000000000000111111111111111122222222222222223333333333333333
11110001111222233330000111122223333000011112222333300001111222233330000111122223333

projective group of automorphisms generated by:
100
010
001

100
010
001