The generator matrix

 1  0  1  1  1  1  6  1  1  1  1  X
 0  1  1  8 2X+7  6  1 X+5 2X+7  7 2X+1  6
 0  0 2X  0  0 X+6 X+6  6 2X+6  6  X X+6
 0  0  0  3  0  6  3  0  6  3  0  6
 0  0  0  0  6  6  0  6  0  3  6  6

generates a code of length 12 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+822x^18+1458x^20+2178x^21+7290x^22+5832x^23+17388x^24+14580x^25+5832x^26+3518x^27+144x^30+6x^36

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 24.6 seconds.