The generator matrix

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

generates a code of length 40 over Z2[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+68x^33+154x^34+406x^35+510x^36+790x^37+684x^38+1060x^39+912x^40+1090x^41+696x^42+728x^43+467x^44+334x^45+116x^46+108x^47+23x^48+18x^49+14x^50+2x^51+6x^52+4x^53+1x^60

The gray image is a linear code over GF(2) with n=160, k=13 and d=66.
This code was found by Heurico 1.16 in 1.6 seconds.