The generator matrix

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

generates a code of length 32 over Z3[X]/(X^2) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+268x^57+452x^60+456x^63+472x^66+404x^69+108x^72+10x^75+8x^78+2x^81+6x^84

The gray image is a linear code over GF(3) with n=96, k=7 and d=57.
This code was found by Heurico 1.16 in 0.961 seconds.