The generator matrix

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

generates a code of length 41 over Z2[X]/(X^3) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+170x^35+491x^36+574x^37+773x^38+756x^39+1030x^40+858x^41+823x^42+800x^43+740x^44+482x^45+357x^46+156x^47+117x^48+38x^49+13x^50+6x^51+5x^52+2x^54

The gray image is a linear code over GF(2) with n=164, k=13 and d=70.
This code was found by Heurico 1.11 in 0.578 seconds.