The generator matrix

 1  0  1  1  1 X^2+X  1  1  1  0  1 X^2+X  1  1  1  1 X^2+X  1  0  1  1  1  X  1  1  0  1  1 X^2 X^2  1  1
 0  1 X+1 X^2+X  1  1 X+1 X^2+1  0  1 X^2+X  1 X^2+1 X+1  0 X^2+1  1 X^2+X  1 X+1 X^2+X+1 X^2+1 X^2+X X^2+X+1  0  1 X^2+1 X^2  1 X^2 X^2+X+1  0
 0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0
 0  0  0  0 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  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+23x^28+54x^29+105x^30+60x^31+86x^32+24x^33+63x^34+36x^35+31x^36+18x^37+7x^38+1x^40+1x^42+2x^44

The gray image is a linear code over GF(2) with n=128, k=9 and d=56.
This code was found by Heurico 1.16 in 0.0146 seconds.