The generator matrix 1 0 0 1 1 1 1 1 1 1 3 1 2X+6 1 1 1 1 1 1 1 X+3 1 X 0 3 1 2X 2X+6 1 1 1 1 1 1 1 1 1 1 0 X 2X 1 X 1 3 X 1 1 1 1 3 1 1 0 1 X+3 1 1 2X+6 1 1 X+6 1 1 1 1 0 0 1 0 0 3 2X+7 2X+1 X+8 X+7 X+2 1 8 1 X+6 2X+1 5 6 2X 2X+5 X+4 X+6 X+2 1 1 1 1 1 1 5 X+1 X+6 X+7 1 2X+3 2X+1 3 X+3 X+5 1 1 1 2X+5 0 2X 1 2X+6 7 2X+8 3 2 1 2 2X+6 1 2X+6 1 1 2 1 X+7 1 1 X+8 2X+8 X+8 2X+2 X+3 0 0 1 2X+7 5 2 2X+1 X+3 X+6 X+5 2X+5 X+1 7 6 X X+3 X+1 2X+2 2X+7 2 1 5 8 X+7 2X+3 2X+1 0 2X+7 2X+4 2X+2 2X+6 6 X+4 X+5 X+4 2X+6 X+1 2X+3 2X+4 X+2 5 X+4 1 3 2X 1 X+6 2 2X+8 X+8 X+5 0 X+8 X 2 6 X+6 X+4 2X+4 5 5 2X+2 6 2X X+1 2X+5 1 0 0 0 6 6 6 6 6 6 6 0 6 0 6 0 0 0 0 0 0 3 0 6 3 6 3 3 6 3 3 3 3 3 3 0 3 3 0 6 3 0 6 3 6 0 6 6 3 6 6 3 3 0 6 3 6 0 3 3 6 3 3 0 3 6 3 0 generates a code of length 67 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+880x^126+1116x^127+2340x^128+3576x^129+3636x^130+5130x^131+5236x^132+4716x^133+5814x^134+5724x^135+4824x^136+4842x^137+3898x^138+2736x^139+1890x^140+1496x^141+468x^142+396x^143+224x^144+68x^147+36x^150+2x^153 The gray image is a code over GF(3) with n=603, k=10 and d=378. This code was found by Heurico 1.16 in 7.62 seconds.