The generator matrix

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

generates a code of length 15 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+72x^30+6x^33+2x^36

The gray image is a code over GF(3) with n=135, k=4 and d=90.
This code was found by Heurico 1.16 in 0.000549 seconds.