The generator matrix

 1  1  1  1
 0  6  3  0

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

Homogenous weight enumerator: w(x)=1x^0+2x^6+72x^8+4x^9+2x^12

The gray image is a code over GF(3) with n=36, k=4 and d=18.
This code was found by Heurico 1.16 in 4.01e-005 seconds.