The generator matrix

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

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+59x^36+236x^37+189x^38+288x^39+178x^40+296x^41+147x^42+250x^43+85x^44+138x^45+61x^46+66x^47+41x^48+2x^50+2x^51+2x^52+2x^53+2x^55+2x^56+1x^58

The gray image is a linear code over GF(2) with n=164, k=11 and d=72.
This code was found by Heurico 1.11 in 0.046 seconds.