length n = 70
dimension k = 4
alphabet length q = 5

minimum distance d = 54

generator matrix:
0001000000111111000000111111111111111111111111111111111111111111111111
0010001111000023111111000000222233334444112311231144112233112223334444
0100110023002300223344223344003400240023121313211414231213342341241234
1000232300230000342423342423340024002300211331214114232131433244213412

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001