The generator matrix

 1  0  1  1  1  1 X+6  1  1  1  1  1  0  1  1
 0  1  1  8  6  5  1 2X+7 2X+8 2X+5 X+5 2X+1  1 X+6  0
 0  0 2X  0 X+6 X+6  6 2X+6  3 X+3 2X+3 X+3 2X+6 2X  0
 0  0  0  3  6  3  6  3  0  3  0  0  6  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+162x^24+72x^25+570x^26+750x^27+2892x^28+1836x^29+4628x^30+5670x^31+1908x^32+960x^33+108x^34+60x^35+56x^36+6x^37+4x^39

The gray image is a code over GF(3) with n=135, k=9 and d=72.
This code was found by Heurico 1.16 in 0.187 seconds.