The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  1  X  0  1  1  1  1 X^2+X X^2  1  1 X^2  1  1  1  1 X^2  1  1  X  X  1
 0  1  1  0 X^2+X+1  1  X X^2+X+1  1  1 X^2+X  1  1 X^2 X+1  0 X+1  1  1 X^2+X+1 X^2+X  1 X^2+X+1 X^2+X+1  1  X  1  X X^2+X+1  0  0 X+1
 0  0  X  0 X^2+X  0  0 X^2 X^2  0  0 X^2  0  X  0  X X^2+X  X X^2+X  X  X  X X^2 X^2+X X^2+X  0  X X^2 X^2  X  0  0
 0  0  0  X  0  0 X^2+X X^2+X X^2+X  X X^2 X^2+X X^2 X^2 X^2 X^2+X  X X^2+X  0  0 X^2+X  X  0 X^2+X X^2+X  X X^2+X X^2+X  0  X X^2+X X^2
 0  0  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0
 0  0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0 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 26.

Homogenous weight enumerator: w(x)=1x^0+80x^26+126x^27+218x^28+368x^29+530x^30+566x^31+443x^32+530x^33+466x^34+308x^35+212x^36+116x^37+70x^38+22x^39+20x^40+10x^41+6x^42+2x^43+2x^44

The gray image is a linear code over GF(2) with n=128, k=12 and d=52.
This code was found by Heurico 1.16 in 0.349 seconds.