The generator matrix

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

generates a code of length 10 over Z3[X]/(X^2) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+96x^15+234x^16+216x^18+540x^19+252x^21+648x^22+156x^24+36x^25+8x^27

The gray image is a linear code over GF(3) with n=30, k=7 and d=15.
This code was found by Heurico 1.16 in 0.0111 seconds.