The generator matrix

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

generates a code of length 14 over Z3[X]/(X^2) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+84x^21+326x^24+772x^27+812x^30+160x^33+28x^36+4x^39

The gray image is a linear code over GF(3) with n=42, k=7 and d=21.
This code was found by Heurico 1.16 in 0.04 seconds.