The generator matrix

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

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+138x^33+377x^34+868x^35+1022x^36+1472x^37+1502x^38+1810x^39+1835x^40+2044x^41+1703x^42+1428x^43+832x^44+748x^45+328x^46+162x^47+54x^48+26x^49+26x^50+4x^51+4x^53

The gray image is a linear code over GF(2) with n=160, k=14 and d=66.
This code was found by Heurico 1.13 in 2.05 seconds.