The generator matrix

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

generates a code of length 15 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+104x^18+210x^21+102x^24+338x^27+18102x^30+336x^33+276x^36+156x^39+48x^42+10x^45

The gray image is a code over GF(3) with n=135, k=9 and d=54.
This code was found by Heurico 1.16 in 0.256 seconds.