The generator matrix

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

generates a code of length 40 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+331x^36+560x^38+444x^40+376x^42+204x^44+80x^46+43x^48+8x^50+1x^52

The gray image is a linear code over GF(2) with n=160, k=11 and d=72.
This code was found by Heurico 1.16 in 2.9 seconds.