length n = 216
dimension k = 6
alphabet length q = 3

minimum distance d = 141

generator matrix:
000000000000111111111111000000000111111111111111000000000111111111111111000111111111000000000111111111111111000000000111111111111111000000111111111111111111000000111111111111111111000000000111111111111111000111111111
000000111111000111222222000111111000000111222222000011111000001111122222001000011112000011111001111111122222000011111000000001122222001111000000011111112222011111000001111111122222001111111000011112222222111000111222
000111011122000112001112001000222000112001001222011100222111220002211122010122201121011111112020001122201112011100012000011121101112011122001112200011111222100112002220001112200122110012222012201220000011012011002002
001011011202002221010121012012002011222121022122102211112011220020101212102101210112111200121020010201210120101201111001212201220122120112110120211201122001002122120121220021211012020220001211211120001201100202020012
010012022111022020010122120122022101021110012212011201012011121221010000020100021101101101002020100222100002211121210011120210210202222120021200002101211020011012002110010202101211202220121200011221220212021211220220
100021002012022000101120200121012110200212001110101201100001112112200220200202112112110210020221000202222102121012000121000210110111201110212211212020120011101221022022121020112210212022022021012101020020122101202102

projective group of automorphisms generated by:
000001
100002
010001
001002
000102
000012