The generator matrix 1 0 1 1 1 1 0 1 2X+7 X+6 2X 8 0 0 6 3 0 6 generates a code of length 6 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 9. Homogenous weight enumerator: w(x)=1x^0+22x^9+378x^10+1008x^12+756x^13+18x^15+4x^18 The gray image is a code over GF(3) with n=54, k=7 and d=27. This code was found by Heurico 1.16 in 0.00102 seconds.