The generator matrix

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

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+50x^24+48x^26+84x^27+216x^28+36x^29+1100x^30+432x^31+54x^32+98x^33+24x^35+38x^36+4x^39+2x^42

The gray image is a code over GF(3) with n=135, k=7 and d=72.
This code was found by Heurico 1.16 in 0.00554 seconds.