The generator matrix

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

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+154x^26+248x^27+513x^28+696x^29+938x^30+1088x^31+939x^32+1136x^33+928x^34+696x^35+430x^36+216x^37+140x^38+16x^39+36x^40+14x^42+1x^44+2x^46

The gray image is a linear code over GF(2) with n=128, k=13 and d=52.
This code was found by Heurico 1.16 in 3.49 seconds.