The generator matrix

 1  1  1  1  1  1  1  1  X  1  1  1
 0  X 2X  0 X+6 2X  0  3 X+6  3 2X  0
 0  0  3  0  3  0  6  6  6  0  6  0
 0  0  0  3  6  3  3  6  6  0  0  0

generates a code of length 12 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+48x^18+18x^20+88x^21+216x^22+72x^23+1090x^24+432x^25+72x^26+120x^27+20x^30+8x^33+2x^36

The gray image is a code over GF(3) with n=108, k=7 and d=54.
This code was found by Heurico 1.16 in 0.00375 seconds.