length n = 171
dimension k = 7
alphabet length q = 3

minimum distance d = 108

generator matrix:
000000000001111111111111111111111111111100000000000001111111111111111111111111110000000000000011111111111111111111111111001100000000000011111111111111111111111111110111011
000011111110000000000111111111111222222200011111111110000000001111111122222222220011111111111100000011111111222222222222010200111111111100000011111111111122222222221112120
011100011120000012222000001111222001122201100011112220111122220001112200011111221100001122222201111200111112000111111122101211001111122200111200001111122200000011221010212
101222212220001100002011220012002010201210102200120121111211120020121202201222010201121201111201112100022222022001112212012111010111200002012000120012212201112201111001112
021200200201120210000012010102220221121112111102210211022011211120101200111001201101112220012101122201001112012120221201121001020012101202111212201210100211120000110201122
220000012021210221120122220010012000101111211112010001101202020222102110222012221101221211221010221201000222021221001112210102011211011020101201200112012220111200010210222
201212001201112220100211211021200212202221010222021120121100122002100202212101101210222222201100201021222020202001010101100111210110121101220201222002001201020221211202201

projective group of automorphisms generated by:
0000001
1000002
0100002
0010000
0001000
0000100
0000012