The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1
 0  1  0 2X+4  X X+4  1 2X+3  8  4 2X+3  0
 0  0  1 2X+2 X+8 X+3  1 2X+4 2X  3 X+2  0
 0  0  0  3  6  3  0  6  3  6  0  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+276x^18+246x^19+1704x^20+1470x^21+6876x^22+6660x^23+19350x^24+13374x^25+6678x^26+1946x^27+402x^28+24x^29+42x^30

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 0.646 seconds.