length n = 81
dimension k = 3
alphabet length q = 5

minimum distance d = 65

generator matrix:
001001001011011011011011011011011011011111111111111111111111111111111111111111111
010010010101101101102102102103103103104111123123123123144144144224224224334334334
100100100110110110230230230320320320440111213213213321414414414343343343242242242

projective group of automorphisms generated by:
001
100
010

100
010
001