The generator matrix

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

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+60x^12+36x^13+90x^14+148x^15+1548x^16+36x^17+194x^18+36x^19+36x^20+2x^24

The gray image is a code over GF(3) with n=72, k=7 and d=36.
This code was found by Heurico 1.16 in 0.00191 seconds.