The generator matrix

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

generates a code of length 32 over Z2[X]/(X^3) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+214x^29+114x^30+224x^31+57x^32+182x^33+60x^34+56x^35+4x^36+74x^37+18x^38+8x^39+2x^40+10x^41

The gray image is a linear code over GF(2) with n=128, k=10 and d=58.
This code was found by Heurico 1.16 in 22.9 seconds.