The generator matrix

 1  0  0  1  1  1 X^2+X  X  1  1 X^2+X  1 X^2+X  1  X  1  1 X^2+X  1  1  X  1  1  X X^2  1  1  1 X^2+X  1  1  0 X^2  1  X  1  0  0  0  1  1
 0  1  0  0 X^2+1 X+1  1 X^2  0 X^2+X+1  1  0  1 X+1  1 X+1  X  1 X^2+X  1  X X^2+X  1  1 X^2+X X+1  1 X^2+X+1 X^2 X+1  X  1  0 X^2  X  0  X  1 X^2+X X^2+X  0
 0  0  1  1 X^2+1  0 X^2+1  1 X^2 X^2+X+1  0 X+1 X^2+X+1 X^2+X X^2+X+1 X^2+X X^2+X+1 X^2  0 X^2+1  1 X+1 X^2+X X^2+X  1 X+1 X^2+X  0  1  1 X^2+1  X  1  X  1  X X^2  0  1  1  0
 0  0  0  X  X X^2 X^2+X  X X^2+X X^2  X X^2 X^2 X^2+X X^2+X  0  X  0 X^2+X  0  X  0 X^2+X  0  X  X X^2  X X^2  0 X^2+X X^2+X X^2+X X^2+X  0 X^2  X X^2+X  0  X  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+76x^36+148x^37+293x^38+198x^39+369x^40+174x^41+201x^42+104x^43+193x^44+76x^45+87x^46+46x^47+46x^48+14x^49+11x^50+4x^51+3x^52+4x^53

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 0.115 seconds.