The generator matrix

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

generates a code of length 41 over Z2[X]/(X^3) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+50x^39+53x^40+70x^41+30x^42+30x^43+9x^44+10x^45+1x^50+1x^52+1x^58

The gray image is a linear code over GF(2) with n=164, k=8 and d=78.
This code was found by Heurico 1.11 in 0.016 seconds.