The generator matrix

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

generates a code of length 7 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+36x^11+28x^12+576x^14+48x^15+36x^17+2x^18+2x^21

The gray image is a code over GF(3) with n=63, k=6 and d=33.
This code was found by Heurico 1.16 in 0.00036 seconds.