The generator matrix

 1  1  1  1  1  1  1
 0  X  0 X+6  0  X  0
 0  0  X 2X+3 2X  X  0
 0  0  0  3  0  6  0
 0  0  0  0  3  3  0

generates a code of length 7 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+38x^6+180x^8+102x^9+324x^10+432x^11+158x^12+1296x^13+14634x^14+214x^15+1296x^16+792x^17+194x^18+22x^21

The gray image is a code over GF(3) with n=63, k=9 and d=18.
This code was found by Heurico 1.16 in 0.0325 seconds.