The generator matrix

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

generates a code of length 14 over Z3[X]/(X^2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+182x^18+108x^20+156x^21+324x^22+864x^23+364x^24+1944x^25+2592x^26+364x^27+3888x^28+3456x^29+546x^30+2592x^31+1728x^32+364x^33+182x^36+28x^42

The gray image is a linear code over GF(3) with n=42, k=9 and d=18.
This code was found by Heurico 1.16 in 2.25 seconds.