The generator matrix

 1  0  0  1  1  1  0  X  1 X^2  1  1  X  1 X^2+X  1  X  0  1  1  1  1 X^2+X  1 X^2  1 X^2  1  X  X  1 X^2  X X^2  X  1  1  1 X^2+X  1
 0  1  0  0  1  1  1 X^2 X^2+1  1 X^2 X+1  1  X  1  X  1  1 X^2+1  1 X^2+X X+1  1 X^2+1  1 X^2+X+1  1 X^2+X  1  1 X^2 X^2+X X^2  1  X X^2+X+1 X+1 X^2+1  1  0
 0  0  1  1 X^2 X^2+1  1  1  X X^2+X X^2+X X^2+1 X^2+X+1  1 X^2+1 X^2+X+1 X^2 X+1  X X^2+X+1 X^2  0 X^2+X X^2+1 X^2+X X^2+X  1  X  0  X X^2+X  1  1  0  1 X^2+X+1 X+1 X^2+1  0 X+1
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0  0  0 X^2  0 X^2  0  0 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+36x^36+202x^37+119x^38+180x^39+93x^40+114x^41+94x^42+68x^43+20x^44+34x^45+11x^46+40x^47+8x^48+2x^49+2x^52

The gray image is a linear code over GF(2) with n=160, k=10 and d=72.
This code was found by Heurico 1.11 in 0.031 seconds.