The generator matrix

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

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+498x^54+1058x^57+1460x^60+1530x^63+1316x^66+548x^69+120x^72+20x^75+8x^78+2x^81

The gray image is a linear code over GF(3) with n=93, k=8 and d=54.
This code was found by Heurico 1.16 in 4.88 seconds.