The generator matrix 1 0 1 1 1 0 1 2X+4 X+3 0 0 0 3 6 6 generates a code of length 5 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+24x^6+12x^7+198x^8+80x^9+1380x^10+396x^11+78x^12+12x^13+6x^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 0.000399 seconds.