The generator matrix

 1  0  1  1  1  1  1 X+3  1  1  1 2X  1  1  1
 0  1 2X+4  8 X+3 X+1 X+2  1 2X  4 2X+8  1  6 2X+7 X+6

generates a code of length 15 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+168x^28+120x^29+38x^30+336x^31+60x^32+2x^33+4x^36

The gray image is a code over GF(3) with n=135, k=6 and d=84.
This code was found by Heurico 1.16 in 0.000753 seconds.