The generator matrix

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

generates a code of length 41 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+136x^36+108x^37+258x^38+204x^39+289x^40+184x^41+248x^42+152x^43+208x^44+92x^45+82x^46+28x^47+25x^48+20x^50+12x^52+1x^56

The gray image is a linear code over GF(2) with n=164, k=11 and d=72.
This code was found by Heurico 1.16 in 0.149 seconds.