length n = 67
dimension k = 4
alphabet length q = 5

minimum distance d = 51

generator matrix:
0001110001110111111111111111111111111111111111111111111111111111111
0110010110041011111231123112222333344112223334444112223334444223344
1010101040401101112131321231234123423241342341234342341241234342423
1101004404001110121133121323412214323424313242143433244213412434232

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001