The generator matrix 1 1 1 1 1 1 1 0 X 2X 6 X+3 2X+6 3 generates a code of length 7 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+2x^12+24x^13+198x^14+4x^15+12x^16+2x^21 The gray image is a code over GF(3) with n=63, k=5 and d=36. This code was found by Heurico 1.16 in 0.000122 seconds.