length n = 69
dimension k = 3
alphabet length q = 5

minimum distance d = 55

generator matrix:
001001001011011011011011011011011111111111111111111111111111111111111
010010010101101101102102103103104111123123123144144224224224334334334
100100100110110110230230320320440111213321321414414343343343242242242

projective group of automorphisms generated by:
001
100
010

100
010
001