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  X  0  0  0  0  0  0  0  0  X 2X 2X  X  X  X  0 2X 2X  X 2X  X  X  X  X  X  X  0  0  0 2X
 0  0  X  0  0  0  0  X 2X 2X 2X  0  0 2X  X 2X  X  0 2X 2X  X 2X  0  0  X 2X  X 2X  X  0  0
 0  0  0  X  0  0  X 2X  0 2X  0  0 2X  X  X 2X  0  X  0 2X  X  X 2X 2X  X  X  X  X  X  X  X
 0  0  0  0  X  0 2X 2X  X  0 2X 2X 2X  0 2X 2X  0 2X 2X  0 2X 2X  0  X 2X  0  0  0  X 2X  X
 0  0  0  0  0  X 2X 2X 2X 2X 2X 2X  X 2X  X  X 2X  X 2X 2X 2X  X  0  0  0  X 2X  0  0  X  X

generates a code of length 31 over Z3[X]/(X^2) who´s minimum homogenous weight is 54.

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

The gray image is a linear code over GF(3) with n=93, k=7 and d=54.
This code was found by Heurico 1.16 in 29.5 seconds.