length n = 138
dimension k = 9
alphabet length q = 3

minimum distance d = 78

generator matrix:
000000000000000000001111111111111111000000000000000011111111111111111111011111111000011111111111111111111111111111111011111111111111111111
000000000011111111110000000000111111000000111111111100000000001111222222101111111111100001111111111111111222222222222101112222111111222222
000000111100001111110000111111000000111111000000222200000022221112000012110111111111111110000111111222222111111222222110221122111222111222
001111001100110000110011000011000011001222001222001200111200220020002201111011111112211221122011122011112011112012222122121201122112112122
110011010111000001010101001100000101110012002122110012002200110202120000111101111121212121212211102101121101121220122221201212122121121212
011101101011000110000101010001011000120011221200001121220011000202001200111110111211211221212102211121101211110222201221022121212121112221
111100110001010010101010000110100100002122110012220021002212002000001120111111011211221122112211120110211110211222210212122012122211211221
100111110010101001001010110000001010221200120011002212220000122000110020111111101121221121122120211211110112011221022212210221212112211212
111010001100111100001100101000110000222100222100120000121122000020220001111111110112212122112122011112011121101102222122212110212211121122

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

001000000
100000000
010000000
000001000
000000010
000000100
000000001
000100000
000010000