The generator matrix

 1  0  1  1  1  1  1  0
 0  1 2X+4  8 X+3 X+1 X+2  1
 0  0  3  0  3  6  6  6
 0  0  0  6  3  3  6  0

generates a code of length 8 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+146x^12+972x^14+536x^15+2430x^16+1944x^17+512x^18+16x^21+4x^24

The gray image is a code over GF(3) with n=72, k=8 and d=36.
This code was found by Heurico 1.16 in 0.0073 seconds.