The generator matrix

 1  1  1  1  1  1  1  1  1  X  X  X  1
 0  3  0  0  0  0  0  3  3  3  3  3  0
 0  0  3  0  0  0  3  6  6  3  3  0  0
 0  0  0  3  0  0  6  6  3  0  3  6  0
 0  0  0  0  3  0  6  3  6  3  0  6  0
 0  0  0  0  0  3  3  0  3  3  6  6  0

generates a code of length 13 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+132x^18+54x^20+132x^21+324x^23+5022x^26+110x^27+432x^29+330x^30+24x^39

The gray image is a code over GF(3) with n=117, k=8 and d=54.
This code was found by Heurico 1.16 in 0.0328 seconds.