The generator matrix 1 0 1 1 1 1 X+3 1 1 2X 1 1 1 0 1 1 2X+3 1 3 1 1 1 X 1 1 1 1 1 1 1 1 3 1 1 1 1 2X+3 1 1 2X 1 2X 1 1 1 1 2X+3 1 0 1 X 1 X X 2X+6 X+3 1 1 1 1 1 1 3 2X 2X X 1 0 1 1 8 X+3 X+2 1 2X 2X+8 1 2X+4 X+1 0 1 2X 2X+1 1 2 1 X+8 X+4 1 1 X+3 2 2X+2 X+8 2X+2 2X+4 3 4 1 2X+2 2X+1 2X 2X+8 1 2X+8 1 1 2X+7 1 X+4 X+6 X+1 X+8 1 2X+2 1 8 1 X+5 1 1 1 1 X+8 6 4 6 2X+7 2X 1 1 1 0 8 0 0 2X 0 3 3 3 0 3 3 2X+3 2X 2X+6 2X 2X+6 X X+6 X+6 X+3 X+3 X X+6 X+3 2X+3 X+3 X+3 X+6 X+3 3 X 2X X+3 2X X 0 3 3 2X+3 X 2X+3 6 2X 0 X+3 2X+3 3 X+6 0 2X+3 2X+6 X+3 6 2X+3 2X+6 X X+6 2X+3 2X 6 3 X+6 6 2X+3 6 2X+6 X 2X 0 0 0 6 6 0 3 3 3 6 3 6 3 6 0 3 0 0 6 6 0 6 3 6 3 6 0 3 6 3 6 0 3 6 6 0 3 6 0 6 6 3 3 6 0 3 3 6 3 6 6 6 6 0 6 0 3 0 3 6 0 0 0 0 3 3 0 generates a code of length 67 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+256x^126+270x^127+810x^128+1134x^129+864x^130+2268x^131+1896x^132+1188x^133+2610x^134+1454x^135+1296x^136+2268x^137+1266x^138+702x^139+756x^140+360x^141+54x^142+36x^143+80x^144+48x^147+30x^150+34x^153+2x^162 The gray image is a code over GF(3) with n=603, k=9 and d=378. This code was found by Heurico 1.16 in 1.23 seconds.