The generator matrix

 1  1  1  1  1  1  1  1  1
 0  X 2X  0 X+6  0 X+6  3 X+6
 0  0  3  0  3  3  3  6  0
 0  0  0  3  6  6  0  6  6

generates a code of length 9 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+48x^13+36x^15+126x^16+1644x^18+252x^19+60x^22+18x^24+2x^27

The gray image is a code over GF(3) with n=81, k=7 and d=39.
This code was found by Heurico 1.16 in 0.0101 seconds.