length n = 77
dimension k = 3
alphabet length q = 5

minimum distance d = 61

generator matrix:
00000000000000001111111111111111111111111111111111111111111111111111111111111
00111111111111110000000000000011111111111122222222222333333333333344444444444
11000111223334440001122233344400111222334400112233444000111223344400112223344

projective group of automorphisms generated by:
100
010
001

100
010
001