The generator matrix

 1  0  1  1  1  1  1 X+3  1  1  1  1
 0  1 2X+4  8 X+3 X+1 X+2  1 2X  0 X+3  0
 0  0  3  0  0  6  3  3  0  3  3  0
 0  0  0  6  0  3  3  6  3  0  3  0
 0  0  0  0  3  3  6  3  3  3  0  6

generates a code of length 12 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+162x^18+324x^20+492x^21+3402x^22+1296x^23+5202x^24+6804x^25+1296x^26+584x^27+120x^30

The gray image is a code over GF(3) with n=108, k=9 and d=54.
This code was found by Heurico 1.16 in 0.114 seconds.