The generator matrix

 1  1  1  1  1  1  1  X  X  1  1  X
 0  X 2X  0 X+3 2X  0 X+3 2X X+3 2X X+3
 0  0  6  0  0  0  0  3  3  6  6  6
 0  0  0  6  0  0  6  3  0  3  3  6
 0  0  0  0  3  0  3  3  3  3  0  3
 0  0  0  0  0  6  3  0  6  3  6  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+480x^18+486x^20+1296x^21+1458x^22+1944x^23+6966x^24+2916x^25+1944x^26+2168x^27+24x^36

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 0.168 seconds.