The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  0  X X^2  X  0  X  X  0 X^2
 0  X  0  0  0  0  0  0  0  X X^2+X  X X^2 X^2  X  0 X^2  X X^2+X X^2  X X^2+X  X  0  X  0 X^2+X X^2  0 X^2+X  X X^2
 0  0  X  0  0  0  X X^2+X  X  X  X  0  0  X X^2  X X^2  X X^2+X X^2 X^2+X  0 X^2+X  X X^2 X^2  X  X X^2+X  X  X X^2
 0  0  0  X  0  X  X  X X^2  0  0 X^2 X^2 X^2 X^2+X X^2+X X^2 X^2+X X^2+X X^2+X  X  X  0 X^2  X  X  0 X^2+X  0  0  X  X
 0  0  0  0  X  X X^2 X^2+X X^2+X  0  X  X  0 X^2+X  X X^2  X  X X^2 X^2+X  0  0 X^2  0 X^2 X^2+X X^2+X  0  0 X^2+X  0  X
 0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0  0  0 X^2  0 X^2  0  0  0 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 25.

Homogenous weight enumerator: w(x)=1x^0+62x^25+123x^26+164x^27+221x^28+330x^29+395x^30+462x^31+574x^32+530x^33+409x^34+266x^35+197x^36+150x^37+97x^38+66x^39+29x^40+16x^41+2x^43+2x^44

The gray image is a linear code over GF(2) with n=128, k=12 and d=50.
This code was found by Heurico 1.16 in 0.459 seconds.