The generator matrix

 1  0  1  1  1
 0  1  1  3 X+3
 0  0 2X X+3 2X+3

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+82x^6+36x^7+594x^8+320x^9+3978x^10+1188x^11+324x^12+36x^13+2x^15

The gray image is a code over GF(3) with n=45, k=8 and d=18.
This code was found by Heurico 1.16 in 0.00106 seconds.