The generator matrix

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

generates a code of length 15 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+54x^24+132x^25+144x^26+186x^27+762x^28+108x^29+3148x^30+1350x^31+162x^32+214x^33+156x^34+72x^35+38x^36+30x^37+2x^39+2x^42

The gray image is a code over GF(3) with n=135, k=8 and d=72.
This code was found by Heurico 1.16 in 0.0365 seconds.