The generator matrix

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

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+108x^18+234x^21+162x^22+336x^24+972x^25+386x^27+1944x^28+516x^30+1296x^31+510x^33+72x^36+6x^39+18x^42

The gray image is a linear code over GF(3) with n=42, k=8 and d=18.
This code was found by Heurico 1.16 in 0.0534 seconds.