The generator matrix

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

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+318x^36+152x^38+684x^40+336x^42+380x^44+24x^46+130x^48+22x^52+1x^64

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 20.3 seconds.