The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1
 0  3  0  0  0  0  0  0  0  0  3  6  6  3  3  3  0  6  6  3  6  3  3  3  3  3  3  0  0  0  6
 0  0  3  0  0  0  0  3  6  6  6  0  0  6  3  6  3  0  6  6  3  6  0  0  3  6  3  6  3  0  0
 0  0  0  3  0  0  3  6  0  6  0  0  6  3  3  6  0  3  0  6  3  3  6  6  3  3  3  3  3  3  3
 0  0  0  0  3  0  6  6  3  0  6  6  6  0  6  6  0  6  6  0  6  6  0  3  6  0  0  0  3  6  3
 0  0  0  0  0  3  6  6  6  6  6  6  3  6  3  3  6  3  6  6  6  3  0  0  0  3  6  0  0  3  3

generates a code of length 31 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+272x^54+486x^60+4374x^62+1252x^63+156x^72+18x^81+2x^90

The gray image is a code over GF(3) with n=279, k=8 and d=162.
This code was found by Heurico 1.16 in 76.4 seconds.