The generator matrix

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

generates a code of length 32 over Z3[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+210x^60+260x^63+126x^66+78x^69+32x^72+18x^75+4x^81

The gray image is a linear code over GF(3) with n=96, k=6 and d=60.
This code was found by Heurico 1.16 in 0.00598 seconds.