length n = 243
dimension k = 9
alphabet length q = 3

minimum distance d = 150

generator matrix:
000000000000000000000000000000111111111111111111111111111111111111111111111111110000000000000000000001111111111111111111111111111111111111111111111111111111111100000000000000000000000111111111111111111111111111111111111111111111111111111111111
000000000001111111111111111111000000000000011111111111111111112222222222222222220000000011111111111110000000000000000000000000111111111111122222222222222222222200000000011111111111111000000000000000000001111111111111122222222222222222222222222
000001111110000001111222222222000000011112200000011111111222220000001111111222220011111111111112222220000000111111111122222222000111112222200000000011112222222201111111100111111122222000000011111112222220000011122222200000000111111111122222222
001110002220111120112000001222000222211220001112200111112112220111120111122012220100011100011110012221111122000111122200011122011112221111200011222200120012222210111222202011122200122001112201222221122220122201211222200000112001112222200022000
011220220222001211000012222002112002201110202220100001220010122022211122200200120212200101100120102220111201022001211200200102212010000012122201022222210210012221112011201101200112012220221220001120101221001210111011100111000221110222211201000
020002110121012212120121222002120011201022120021102022011112222201200022212110201220101200112200221222002221222122011002001222112020002220101211001112112200201121011211000022112212212122122120110222022220221200111200202012011221220011202220222
101122002020002122011220221002002200210222110120001011022221211001100000111110120002121210021211212220120021202122101220210200221110111211201112001220111020121112022122022200110010010211211210220111011112001022111022012102100220221100212221111
200121111021121221121112010021022001201110212222011111200202022102110212200021112120102101012101122022010001120222102012211100120110112210102120211102112121111200201101012212110202012110202100010000012222101100001011012201001112121202011100111
221120011200211020101111012010101100120110120120111101002211021012210200010202101200112121002102011022000010200202201111110010101121022001101111221021212000021112122101220100001120221201220112211011210012220201122202012211020022220120202102000

projective group of automorphisms generated by:
210121201
012012120
221020202
101200210
101212111
121220120
220100020
122100201
222102221