The generator matrix

 1  1  1  1  1  1  1  1  X  X  1  1
 0  X  0  0 2X X+3  6 2X  3  X  X  6
 0  0  X 2X  0 2X+3  3  6 X+3 X+3  X  6
 0  0  0  6  3  3  6  0  0  0  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+60x^18+54x^19+222x^20+162x^21+810x^22+576x^23+2214x^24+1458x^25+612x^26+182x^27+108x^28+48x^29+54x^30

The gray image is a code over GF(3) with n=108, k=8 and d=54.
This code was found by Heurico 1.16 in 0.025 seconds.