The generator matrix

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

generates a code of length 8 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+144x^11+2038x^12+4104x^14+8088x^15+28188x^16+8208x^17+8084x^18+180x^20+8x^21+6x^24

The gray image is a code over GF(3) with n=72, k=10 and d=33.
This code was found by Heurico 1.16 in 149 seconds.