The generator matrix

 1  0  1  1  1  1  1 X+3  1  1  1  0
 0  1 2X+4  8 X+3 X+1 X+2  1 2X  4  8  1
 0  0  3  0  0  0  3  3  0  6  6  6
 0  0  0  6  0  0  3  3  6  3  0  3
 0  0  0  0  3  0  6  3  6  0  3  6
 0  0  0  0  0  6  3  0  3  3  3  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+480x^18+972x^20+1296x^21+11664x^22+3888x^23+11340x^24+23328x^25+3888x^26+2168x^27+24x^36

The gray image is a code over GF(3) with n=108, k=10 and d=54.
This code was found by Heurico 1.16 in 0.695 seconds.