The generator matrix

 1  1  1  1  1  1
 0  X  0  0  0  0
 0  0  X  0  0  0
 0  0  0  X  0  0
 0  0  0  0  X  0
 0  0  0  0  0  X

generates a code of length 6 over Z3[X]/(X^2) who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+12x^3+60x^6+160x^9+1698x^12+192x^15+64x^18

The gray image is a linear code over GF(3) with n=18, k=7 and d=3.
This code was found by Heurico 1.16 in 0.000951 seconds.