length n = 120
dimension k = 9
alphabet length q = 3

minimum distance d = 72

generator matrix:
000011111111111111111111111111111111000000001111111111111111111111111111111111111111111111111111111111111111111111111111
111100001111111111111111222222222222111111110000000011111111111111111111111111222222222222222222222222222222111111222222
112211220011111111122222001111122222111122221111222200001111111112222222222222000011111111111112222222222222111222111222
121211221100111222211112221111200122112211221222111212220112222220001111112222111200011111122220111122222222122112112122
112212121112022011211112110112012222221211122112112221222220112221120011110222122211201122211112022200111122212112121212
121221121211202111101122121021211022221112212121121221122221010111221201222022211222122201102222111112011102211122212112
211221122112111211010212121201212201121221211122212111221011102222122122012202212122122210120221202211101111112212212211
211212121221111102121102122110212210122112121221122112121102221011221210222220122112210122222021220211110111121122122211
111111112121220120112010121111212222222121222221212222112222221102112122101111112212111011022202222012111020221211112212

projective group of automorphisms generated by:
000000001
000000010
000000100
100000000
001000000
010000000
000010000
000001000
000100000

100000000
000010000
000000010
010000000
000000100
000000001
000001000
000100000
001000000