The generator matrix

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

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+314x^36+536x^38+564x^40+320x^42+146x^44+104x^46+59x^48+4x^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 1.11 in 0.063 seconds.