length n = 165
dimension k = 5
alphabet length q = 3

minimum distance d = 108

generator matrix:
000001110000011100001111000011110000111100110000111100001111000111110001111101111111011111110011111100111111001111110111111100111111001111110001111101111111011111111
001112220011122200110022001100220011002200110011002200110022111112221111122210000112100001121100112211001122110011221000011211001122110011221111122210000112100001121
000120120001201211111222110212011102120111021102120111021201002220010220001101122220011222200200110102001101010022021112211212000012120000121111122221122001211220011
112121121121211200000000111121221111212212112211122222111222000000000000000011212112112121122212111122121111211222120000000012122212121222122222211111212112112121122
010010110100101112021112010101120101011221110220210102202101021011201020101211200022112000221002021010020210222112201020201012101222121012220121201220122020201220200

projective group of automorphisms generated by:
11201
01220
02200
00010
11100