The generator matrix

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

generates a code of length 15 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+170x^27+486x^28+396x^30+972x^31+144x^33+18x^36

The gray image is a code over GF(3) with n=135, k=7 and d=81.
This code was found by Heurico 1.16 in 0.509 seconds.