The generator matrix

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

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+786x^24+216x^25+1458x^26+2360x^27+7128x^28+5832x^29+17298x^30+14256x^31+5832x^32+3282x^33+270x^34+330x^36

The gray image is a code over GF(3) with n=135, k=10 and d=72.
This code was found by Heurico 1.16 in 1.47 seconds.