The generator matrix

 1  0  1  1  1  1  1  0  1  X  1  1  1  0  1  0  X  1  1  1 2X  X  1  1  1  1  1  1 2X  X  1
 0  1  1  2  0 2X+1  2  1  2  1  0 2X+1  0  1 2X+1  1  1  X  X X+1  1  1 X+1  1 2X+1  0 2X  X  1  0 2X+1
 0  0 2X  0  0 2X  0  X  X 2X 2X 2X 2X  0  X  X  X 2X  0 2X  X 2X  X  0  0  0  X  0  0  X 2X
 0  0  0  X  0 2X 2X 2X 2X  X  0 2X  X  0  0  X  X  X 2X 2X  0  X  X 2X  0  X  0  0 2X  0  0
 0  0  0  0  X  X  X  0 2X  0 2X 2X  X 2X 2X  X 2X 2X 2X  0  0 2X  0  X  0  X  X 2X  0 2X 2X

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+138x^54+396x^57+490x^60+448x^63+518x^66+162x^69+12x^72+4x^75+14x^78+4x^81

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 0.039 seconds.