The generator matrix

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

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+52x^57+102x^58+252x^59+200x^60+138x^61+228x^62+172x^63+60x^64+210x^65+112x^66+72x^67+180x^68+136x^69+78x^70+78x^71+44x^72+30x^73+24x^74+10x^75+6x^76+2x^81

The gray image is a linear code over GF(3) with n=96, k=7 and d=57.
This code was found by Heurico 1.13 in 0.0178 seconds.