The generator matrix

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

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+450x^54+1206x^57+1320x^60+1612x^63+1200x^66+606x^69+160x^72+6x^75

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 0.276 seconds.