length n = 75
dimension k = 3
alphabet length q = 5

minimum distance d = 60

generator matrix:
000000000000000111111111111111111111111111111111111111111111111111111111111
000111111111111000000000000111111111111222222222222333333333333444444444444
111000111222333000222333444111222333444000111222333000111222444000111333444

projective group of automorphisms generated by:
100
010
001

100
010
001