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  3  6  6  6  0  0  6  0
 0  0  0  6  3  3  6  0  6  3  0  0

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+98x^18+108x^20+158x^21+1134x^22+432x^23+1616x^24+2268x^25+432x^26+270x^27+40x^30+4x^33

The gray image is a code over GF(3) with n=108, k=8 and d=54.
This code was found by Heurico 1.16 in 0.0143 seconds.