The generator matrix 1 1 1 1 1 0 X 0 X+3 0 0 0 X 2X+6 0 0 0 0 6 0 0 0 0 0 6 generates a code of length 5 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 3. Homogenous weight enumerator: w(x)=1x^0+10x^3+54x^4+256x^6+324x^7+486x^8+944x^9+15228x^10+972x^11+944x^12+432x^13+32x^15 The gray image is a code over GF(3) with n=45, k=9 and d=9. This code was found by Heurico 1.16 in 0.0196 seconds.