The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  1  X  1  1 X^2 X^2  1  1  X  1  1  X  1  1  1 X^2+X  X  1  X  1  X  1  X  X  1  1 X^2+X  1  1  1
 0  1  1 X^2+X X^2+X+1  1  0 X+1  1  X X^2+1  1 X+1 X^2+X  1  1  0  0  1 X^2+1  X  1 X^2+1  0  1  1  1 X^2  1 X+1  1 X^2+X X^2  1 X^2+X X^2+X  1  0 X^2 X^2
 0  0  X  0 X^2+X  0 X^2+X X^2 X^2+X X^2+X  0 X^2+X X^2  0  X  0  X X^2  X  0 X^2+X  X X^2 X^2  X  0  0 X^2+X  X  0  X  0 X^2+X X^2  X X^2  X X^2 X^2  X
 0  0  0 X^2  0  0  0 X^2  0  0 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2
 0  0  0  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0  0  0 X^2 X^2  0 X^2  0 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0
 0  0  0  0  0 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0
 0  0  0  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2  0  0 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+38x^33+103x^34+132x^35+315x^36+246x^37+599x^38+334x^39+542x^40+398x^41+619x^42+256x^43+270x^44+74x^45+75x^46+40x^47+20x^48+12x^49+10x^50+4x^51+2x^52+2x^54+2x^55+1x^56+1x^60

The gray image is a linear code over GF(2) with n=160, k=12 and d=66.
This code was found by Heurico 1.16 in 0.473 seconds.