The generator matrix

 1  0  1  1  1 X^2  1  1  0  1  1  0  0  1  1  1  1 X^2 X^2  1  1  1  1  0  0 X^2+X X^2+X X^2  X  X X^2+X  X X^2+X  X  0  1  1  X  1  1
 0  1  1  0 X+1  1 X^2+X+1  0  1 X^2  1  1  1 X+1 X^2+X  1 X^2+X  1  1  X X+1 X^2+X X^2+1  1  1  1  1  X  1  1  1  1  1  1  X X+1 X^2+1  1 X^2 X^2
 0  0  X  0  0  0  0 X^2+X X^2+X X^2+X  X X^2+X X^2 X^2+X  X X^2 X^2 X^2+X  X  X X^2+X X^2 X^2 X^2+X X^2  X X^2+X  X  0 X^2  0  0 X^2+X  X  X X^2  0 X^2+X  X  X
 0  0  0  X X^2 X^2+X X^2+X X^2+X X^2+X X^2  X  0  0  X X^2+X X^2  0  X X^2 X^2  0  X X^2+X X^2  X  X X^2+X  0  X  X  0 X^2  X X^2  X X^2  X  X  X 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+91x^36+148x^37+130x^38+124x^39+121x^40+96x^41+80x^42+128x^43+55x^44+12x^45+22x^46+4x^47+4x^50+2x^52+4x^54+2x^56

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 0.0485 seconds.