The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  6  0  6  0  6  3  3  3  0  0  6  6  0  6  3  3  3
 0  0  6  3  3  6  0  6  3  0  6  3  6  3  0  0  6  3

generates a code of length 18 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+240x^36+2x^54

The gray image is a code over GF(3) with n=162, k=5 and d=108.
This code was found by Heurico 1.16 in 0.00104 seconds.