length n = 62
dimension k = 4
alphabet length q = 4

minimum distance d = 46

generator matrix:
00100100100100111100111100111100111111111111111111111111111111
01001001001011002311002311002311002312312312312311231231123123
00011113312200000013131312122123233200000011312122212323332313
10010020030023230023230032320032320021332121332112133211213321

projective group of automorphisms generated by:
0100
1000
0010
0001

0001
1000
0010
0100