The generator matrix

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

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+96x^18+60x^19+414x^20+510x^21+3222x^22+1188x^23+5754x^24+6336x^25+1242x^26+668x^27+102x^28+72x^29+12x^30+6x^33

The gray image is a code over GF(3) with n=108, k=9 and d=54.
This code was found by Heurico 1.16 in 0.122 seconds.