length n = 52
dimension k = 3
alphabet length q = 4

minimum distance d = 39

generator matrix:
0101000010101010101010111111111111111111111111111111
0000111111113131312121200000000113131212222232323333
1010000101020202030303011232323123233232111323232111

projective group of automorphisms generated by:
001
010
100

100
010
001