The generator matrix

 1  0  0  1  1  1  1  1 X+3  1  1 X+3 2X+3  1  1
 0  1  0 2X+4 2X+3  8  4 X+2  1 2X+2 2X+2  1  1 X+8 2X+3
 0  0  1 2X+2 2X+4  8 X+4 2X+3  2 2X+4 X+2 2X+3  4 X+8 2X+1
 0  0  0  3  0  3  3  0  6  3  0  3  0  6  6

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

Homogenous weight enumerator: w(x)=1x^0+458x^24+414x^25+1788x^26+2644x^27+6372x^28+6840x^29+17006x^30+12582x^31+6876x^32+3358x^33+558x^34+48x^35+100x^36+4x^39

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 1.12 seconds.