The generator matrix

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

generates a code of length 7 over Z3[X]/(X^2) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+62x^6+36x^7+108x^8+294x^9+1044x^10+648x^11+2030x^12+3780x^13+2754x^14+3574x^15+3744x^16+864x^17+578x^18+144x^19+22x^21

The gray image is a linear code over GF(3) with n=21, k=9 and d=6.
This code was found by Heurico 1.16 in 0.125 seconds.