The generator matrix

 1  0  1  1  1  1  1 X+6  1  1  1  1  1  1  1
 0  1 2X+7  8 X+6 X+1 X+5  1 2X 2X+8  7 X+1 2X+7 X+5  0
 0  0  6  0  6  3  3  3  0  0  3  3  0  3  0
 0  0  0  3  6  6  3  0  3  6  0  3  0  6  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+14x^24+36x^25+282x^26+20x^27+1224x^28+972x^29+498x^30+2412x^31+990x^32+20x^33+54x^34+24x^35+6x^36+6x^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 0.021 seconds.