The generator matrix

 1  0  0  1  1  1  1  1  1 2X+3  1  1
 0  1  0  1 2X+3  4  2 X+3  0  1 2X+8  3
 0  0  1  8 2X+4 X+4 2X+3 2X+2 X+1  4  1 X+4
 0  0  0 2X  3  6 X+6 2X+6 2X+3  6 X+3 X+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+1026x^18+432x^19+4860x^20+4956x^21+21546x^22+19440x^23+54990x^24+43092x^25+19440x^26+6632x^27+540x^28+192x^30

The gray image is a code over GF(3) with n=108, k=11 and d=54.
This code was found by Heurico 1.16 in 5.47 seconds.