The generator matrix

 1  0  1  1  1  1  1 X+3  1
 0  1 2X+4  8 X+3 X+1 X+2  1 2X

generates a code of length 9 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+162x^16+36x^17+182x^18+324x^19+18x^20+6x^21

The gray image is a code over GF(3) with n=81, k=6 and d=48.
This code was found by Heurico 1.16 in 0.000329 seconds.