The generator matrix

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

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+186x^24+452x^27+828x^30+630x^33+78x^36+12x^42

The gray image is a linear code over GF(3) with n=45, k=7 and d=24.
This code was found by Heurico 1.16 in 2.77 seconds.