length n = 216
dimension k = 9
alphabet length q = 3

minimum distance d = 126

generator matrix:
000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111011111111000011111111111111111111111111111111000011111111111111111111111111111111000111111111111111111111111
000000000000000000111111111111111111111111111111000000000000000000000000000000111111111111222222222222222222101111111111100001111111111111111222222222222111100001111111111111111222222222222111000111111111222222222222
000000111111111111000000000000111111112222222222000000000000111111112222222222000000002222000000000011112222110111111112211220011111111122222001111122222112211220011111111122222001111122222122122011122222001111122222
111111000000222222000000222222111111220000001122111112222222000002220000000111000002220002000000011100021222111011111121211221100111222211112221111200122121211221100111222211112221111200122212122102211222221122200111
112222002222000022112222111222000022020000110001002220000222111121120000112002002220000020000022200011210001111101111112212121112022011211112110112012222112212121112022011211112110112012222122212120222112110202212112
020222121222001100221122000011002200001112220210111120012001002220200022020121020220020000022200011200001010111110111121221121211202111101122121021211022121221121211202111101122121021211022212221212202121122011211022
112001210011110012021101002212020202021121002010020201101122220002021211201000220000002200112201102200000000111111011211221122112111211010212121201212201211221122112111211010212121201212201221221222112210211221012201
201110121100221200110210121100202020200202120201220001221110020200001112021220202002200000110121200002200000111111101211212121221111102121102122110212210211212121221111102121102122110212210221212221221201122120121210
221122212212122211202022220000220000202020002000202022220000202020002200200000111121211211201010020020000100111111110111111112121220120112010121111212222111111112121220120112010121111212222111111222020022212212121121

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

100000000
000010000
000000010
010000000
000000100
000000001
000001000
000100000
001000000