The generator matrix

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

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+198x^36+176x^38+289x^40+192x^42+135x^44+16x^46+13x^48+2x^52+1x^56+1x^60

The gray image is a linear code over GF(2) with n=160, k=10 and d=72.
This code was found by Heurico 1.16 in 4.87 seconds.