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  1  1 X^2  1  1  1  0  X X^2  1  1  1  0  1  1  0  1  X  1
 0  X  0  0  0  X X^2+X  X  0 X^2  X X^2+X  0 X^2  X  X  0 X^2  X  X X^2+X X^2+X  X  0 X^2 X^2 X^2+X X^2  0 X^2+X  X X^2 X^2  0  0  0  0 X^2  0 X^2+X X^2+X
 0  0  X  0  X  X  X X^2  0 X^2 X^2+X X^2+X  X  X X^2 X^2  0 X^2+X  0  X  X X^2+X X^2+X X^2+X  X  X  0  X  X X^2+X X^2+X  0  X  X  X X^2+X X^2+X  X X^2+X X^2+X X^2
 0  0  0  X  X X^2 X^2+X X^2+X  0 X^2+X X^2 X^2+X  X  0  X  0 X^2 X^2+X X^2+X  0 X^2+X  0 X^2+X X^2+X X^2+X X^2  0  0 X^2  X X^2 X^2+X  X X^2+X  0 X^2+X X^2 X^2  0  X X^2
 0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2  0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  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+96x^36+12x^37+120x^38+64x^39+202x^40+104x^41+150x^42+64x^43+115x^44+12x^45+36x^46+28x^48+14x^50+4x^52+1x^56+1x^68

The gray image is a linear code over GF(2) with n=164, k=10 and d=72.
This code was found by Heurico 1.16 in 0.0715 seconds.