The generator matrix

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

generates a code of length 40 over Z2[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+62x^33+250x^34+226x^35+675x^36+558x^37+1003x^38+720x^39+1295x^40+688x^41+1038x^42+522x^43+599x^44+214x^45+164x^46+60x^47+84x^48+14x^49+8x^50+8x^51+2x^52+1x^54

The gray image is a linear code over GF(2) with n=160, k=13 and d=66.
This code was found by Heurico 1.16 in 1.78 seconds.