length n = 57
dimension k = 4
alphabet length q = 4

minimum distance d = 41

generator matrix:
000111011111011111001111001111001111011111011111111111111
001001001123001123112223110023110023111122111133000023123
011010120322130233020123130202120330212301312301112332211
111111213232312332332113233211322311122133131322233223023

projective group of automorphisms generated by:
0011
1110
0110
0001