The generator matrix

 1  0  0  1  1  1  0  X  1 X^2  1  1  1  X  1  X  1  X X^2+X  1  0  1  1  1  X  1 X^2  1 X^2 X^2  0  1
 0  1  0  0  1  1  1 X^2 X^2+1  1 X^2+X+1  X X^2+X  1 X+1  1  1 X^2+X  1  X X^2+X X^2+X X+1 X^2  1 X^2+X+1  1  0  0  1  1  0
 0  0  1  1 X^2 X^2+1  1  1  X X^2+X X+1 X^2+X+1  0 X^2+X+1 X^2 X^2+X X+1  1  1  1  1 X^2+X+1  1 X^2+X+1  0 X^2+X X+1  0  1  1 X^2+1  0
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 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+41x^28+140x^29+198x^30+152x^31+88x^32+108x^33+116x^34+68x^35+32x^36+24x^37+30x^38+20x^39+5x^40+1x^44

The gray image is a linear code over GF(2) with n=128, k=10 and d=56.
This code was found by Heurico 1.11 in 0.016 seconds.