The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  1 X^2+X  1  X  1  1  X  1  1  1  1  X  1  1  X  1  0  0  1
 0  1  1  0 X^2+X+1  1  X X+1  1 X^2+X  1 X^2+1 X^2+X+1 X^2  1  1  1 X^2+X X+1  1 X^2  X  1 X^2+X  1 X^2+X+1  0  X X+1  1  0 X^2+X+1
 0  0  X  0 X^2+X  0  0  X X^2  0 X^2  X  0  X X^2+X X^2 X^2+X X^2+X X^2 X^2+X  X X^2+X  0  0 X^2  0  0 X^2+X  0  X  X  X
 0  0  0  X  0  0  X  X X^2+X X^2  X  X  X X^2 X^2+X X^2+X X^2 X^2+X  0  0 X^2 X^2  X X^2 X^2+X X^2  0 X^2+X X^2  X  0  0
 0  0  0  0 X^2  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2
 0  0  0  0  0 X^2  0  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0  0  0  0 X^2
 0  0  0  0  0  0 X^2  0  0  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  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+70x^25+191x^26+216x^27+469x^28+472x^29+1205x^30+768x^31+1493x^32+780x^33+1066x^34+504x^35+496x^36+200x^37+146x^38+48x^39+34x^40+14x^41+15x^42+3x^44+1x^46

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 98.3 seconds.