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

generates a code of length 40 over Z2[X]/(X^3) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+60x^32+80x^33+201x^34+390x^35+450x^36+602x^37+846x^38+1002x^39+1009x^40+914x^41+828x^42+702x^43+458x^44+302x^45+158x^46+78x^47+57x^48+22x^49+11x^50+4x^51+12x^52+4x^54+1x^56

The gray image is a linear code over GF(2) with n=160, k=13 and d=64.
This code was found by Heurico 1.16 in 2.21 seconds.