length n = 83
dimension k = 4
alphabet length q = 5

minimum distance d = 65

generator matrix:
01110001111111110001111111110000001111111111111111111111111111111111111111111111111
10111110001122331110001144441111110000002222333344441123112223334444112223334444144
11011231230201031441440400142233442233440034002400231321241342341234342341241234414
11102132132010304144144014003424233424233400240023003121424313242143433244213412441

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001