The generator matrix

 1  0  0  0  1  1  1  1  1  1  1 X^2 X^2 X^2+X  X X^2  1  1 X^2+X  1  1  1  X  0  1 X^2+X  1 X^2  1  1  1  X
 0  1  0  0  0  1 X^2+X+1 X^2+X X^2+X+1  X  1  1  1  1 X^2+X X^2+X X^2+X+1 X^2  1 X+1 X^2+X  0  1  1  1 X^2  0  X X^2+1 X^2+1 X+1  1
 0  0  1  0  1  1  X  0  X X^2+X+1 X^2+X+1 X^2+X+1  X X+1  1  1  1 X^2+1 X^2 X^2 X^2 X^2+1 X^2+X  1  0  0 X^2+X  1  1 X^2+X+1  1 X^2+1
 0  0  0  1  1  0 X^2 X^2+1  1  0 X^2+1 X^2  1  1 X+1  X  X  0  1  0 X+1 X^2+1  X X^2+X X^2+X+1  1 X^2 X+1 X^2+X+1 X+1 X^2+X+1 X^2+1
 0  0  0  0  X  0  0  X  X X^2 X^2+X X^2  X X^2+X X^2+X X^2  0  X X^2  X  0 X^2  X X^2+X  X  0 X^2+X X^2+X X^2 X^2 X^2+X  0
 0  0  0  0  0 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2  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+234x^25+602x^26+1128x^27+1720x^28+2522x^29+3543x^30+4254x^31+4601x^32+4318x^33+3694x^34+2734x^35+1662x^36+942x^37+472x^38+202x^39+78x^40+48x^41+8x^42+2x^43+2x^44+1x^46

The gray image is a linear code over GF(2) with n=128, k=15 and d=50.
This code was found by Heurico 1.16 in 86.9 seconds.