length n = 129
dimension k = 4
alphabet length q = 4

minimum distance d = 96

generator matrix:
000111100011110000001111000111100011110001111011111101111110111111011111101111110111111011111101111110111111011111101111110111111
011001101100110000110011011001101100110110011101222310122231012333101233310123331012333101222310122231012333101233310122231012223
002020200202021111131313113131311313131131313030133203013320102113010211312230031223003201122020112202030223203022332200113220011
101322310132230001013223101322321023322102332211201321120133003012300301230030213003021211102321110233003120300312021112032111203

projective group of automorphisms generated by:
3101
1000
0210
2203