The generator matrix

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

generates a code of length 32 over Z2[X]/(X^3) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+249x^28+586x^30+545x^32+356x^34+210x^36+82x^38+18x^40+1x^44

The gray image is a linear code over GF(2) with n=128, k=11 and d=56.
This code was found by Heurico 1.16 in 0.276 seconds.