length n = 144
dimension k = 7
alphabet length q = 3

minimum distance d = 90

generator matrix:
000000000000111111111111110000001111111000000000000111111111111110000001111111111111111111100000000011111111111111111000000111111111111111111111
000000111111000000111222220001110001112011111111111000001111122220001110000001111112222222200111111100001111111111222011111000000000001111122222
000011011122000112011001110110010121122000011122222001220022200011110020112220000220112222211000112201220000000122122111122000111122221112200110
001102112212001022101011121121220020220111112200122022110111112200120220111220122001020112202222010122110000112001001101201122000100010021211010
000202121210121221112120121010101012100212220200112220221000210100202220120020212122210220022022022020010022022201221110010112011201200220001002
012001112220210002022000122212110010110021210002021000122111022001201120210021001222202120120202202201020222020110002112221212212001110022220210
100200000212001122011102022101021002020022211212112110201212010021222012002202220211212101211101111002111102001112111111221212121210102000000012

projective group of automorphisms generated by:
0122000
0002220
0002221
0201110
0020220
2210010
2000100