The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  1  1  1  1
 0  X  0  0  0  0  X 2X 2X  0  X  0  X  X 2X
 0  0  X  0  0  X 2X  0 2X  0  X  X 2X  0 2X
 0  0  0  X  0 2X 2X  X  0  X  X 2X  X 2X  X
 0  0  0  0  X 2X 2X 2X 2X 2X 2X  0  0 2X 2X

generates a code of length 15 over Z3[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+60x^24+40x^27+162x^28+62x^30+324x^31+20x^33+40x^36+10x^39+10x^42

The gray image is a linear code over GF(3) with n=45, k=6 and d=24.
This code was found by Heurico 1.16 in 0.0225 seconds.