The generator matrix

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

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+822x^18+1458x^20+2178x^21+7290x^22+5832x^23+17388x^24+14580x^25+5832x^26+3518x^27+144x^30+6x^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 24.2 seconds.