The generator matrix

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

generates a code of length 4 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+8x^3+18x^4+132x^6+72x^7+1620x^8+248x^9+72x^10+16x^12

The gray image is a code over GF(3) with n=36, k=7 and d=9.
This code was found by Heurico 1.16 in 0.00034 seconds.