The generator matrix 1 1 1 X 1 0 X 2X X 0 0 0 3 0 3 0 0 0 6 3 generates a code of length 5 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+38x^6+324x^8+92x^9+972x^10+648x^11+102x^12+10x^15 The gray image is a code over GF(3) with n=45, k=7 and d=18. This code was found by Heurico 1.16 in 0.000561 seconds.