The generator matrix

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

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+174x^28+252x^29+238x^30+320x^31+253x^32+224x^33+196x^34+164x^35+102x^36+48x^37+42x^38+12x^39+14x^40+4x^41+4x^42

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 0.099 seconds.