The generator matrix

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

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+184x^28+52x^29+224x^31+181x^32+168x^33+64x^35+103x^36+4x^37+42x^40+1x^52

The gray image is a linear code over GF(2) with n=128, k=10 and d=56.
This code was found by Heurico 1.16 in 0.0442 seconds.