The generator matrix

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

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+618x^24+324x^26+1538x^27+1944x^28+1296x^29+6354x^30+3888x^31+1296x^32+2064x^33+360x^36

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 1.92 seconds.