The generator matrix

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

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+118x^35+188x^36+288x^37+376x^38+446x^39+473x^40+392x^41+501x^42+420x^43+329x^44+268x^45+124x^46+70x^47+27x^48+24x^49+21x^50+18x^51+5x^52+4x^53+2x^54+1x^56

The gray image is a linear code over GF(2) with n=164, k=12 and d=70.
This code was found by Heurico 1.16 in 0.486 seconds.