length n = 111
dimension k = 3
alphabet length q = 5

minimum distance d = 89

generator matrix:
001001001001011011011011011011011011011011011011011011111111111111111111111111111111111111111111111111111111111
010010010010101101101101102102102102103103103103104104111123123123123123123144144144144224224224224334334334334
100100100100110110110110230230230230320320320320440440111213213213213321321414414414414343343343343242242242242

projective group of automorphisms generated by:
001
100
010

100
010
001