The generator matrix

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

generates a code of length 32 over Z2[X]/(X^3) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+75x^26+296x^27+606x^28+708x^29+893x^30+1096x^31+1011x^32+972x^33+857x^34+744x^35+502x^36+236x^37+123x^38+40x^39+24x^40+4x^41+4x^42

The gray image is a linear code over GF(2) with n=128, k=13 and d=52.
This code was found by Heurico 1.11 in 0.422 seconds.