The generator matrix

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

generates a code of length 15 over Z3[X]/(X^2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+92x^18+240x^19+460x^21+1026x^22+1108x^24+4356x^25+3300x^27+10770x^28+9220x^30+13716x^31+3964x^33+8118x^34+1324x^36+1140x^37+202x^39+4x^42+8x^45

The gray image is a linear code over GF(3) with n=45, k=10 and d=18.
This code was found by Heurico 1.16 in 3.67 seconds.