The generator matrix

 1  0  1  1  1 X^2+X  1  1  1  0  1 X^2+X  1  1  1  0  1  1 X^2+X  1  1  1 X^2  1  X  X  1  X  1  1  1  1  1  X  1  0  1  1  X  1
 0  1 X+1 X^2+X  1  1 X+1 X^2+1  0  1 X^2+X  1 X^2+1 X+1  0  1 X^2+1 X^2+X  1 X+1 X^2+X+1 X^2  1  X  1 X^2+X X^2+1  X X^2+X+1  1  1  1 X^2+X+1  0 X^2+X+1  X  0 X^2 X^2+X X+1
 0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0
 0  0  0  0 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  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+15x^36+90x^37+33x^38+116x^39+45x^40+92x^41+19x^42+72x^43+2x^44+10x^45+8x^46+4x^47+3x^50+1x^54+1x^68

The gray image is a linear code over GF(2) with n=160, k=9 and d=72.
This code was found by Heurico 1.16 in 0.027 seconds.