The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  0  1  1  1 X^2  1  1  1  X  1 X^2+X X^2  1  X  1  1  X  1  1
 0  1  1  0  1  1  X X^2+X+1  1 X^2+X  1 X^2+X+1  0  1 X+1 X^2+1 X^2  1  0  1 X^2  1 X^2+X+1  1  1  X X^2+X X+1 X^2+X+1 X^2+X  X X^2+1
 0  0  X  0  0  0  0  0  0 X^2 X^2  X  X  X  0 X^2+X  X X^2+X X^2+X X^2 X^2+X X^2  X X^2+X X^2  X X^2+X  X X^2 X^2+X  X  0
 0  0  0  X  0  0  X X^2  X X^2 X^2+X  0  0  0 X^2+X X^2+X X^2+X X^2+X  X X^2+X  0  0 X^2  X  X X^2 X^2  0  0  X  X X^2
 0  0  0  0  X  0  0  X X^2 X^2  0 X^2 X^2+X  X X^2+X X^2 X^2+X  X  0  0  0 X^2+X X^2+X X^2 X^2+X X^2  X  X X^2  0  X  0
 0  0  0  0  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  0  0 X^2 X^2 X^2  0  0  0  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+64x^25+161x^26+242x^27+542x^28+476x^29+1115x^30+770x^31+1523x^32+728x^33+1091x^34+522x^35+502x^36+188x^37+149x^38+62x^39+24x^40+16x^41+12x^42+4x^43

The gray image is a linear code over GF(2) with n=128, k=13 and d=50.
This code was found by Heurico 1.16 in 1.44 seconds.