The generator matrix

 1  0  1  1  1  1  1 X+6  1  1
 0  1 2X+7 X+6  8 X+1 X+5  1  0 X+6
 0  0  6  3  6  0  3  3  6  0

generates a code of length 10 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+54x^16+366x^18+216x^19+648x^20+666x^21+216x^22+18x^24+2x^27

The gray image is a code over GF(3) with n=90, k=7 and d=48.
This code was found by Heurico 1.16 in 0.00177 seconds.