The generator matrix

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

generates a code of length 41 over Z2[X]/(X^3) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+82x^38+72x^39+107x^40+72x^41+51x^42+36x^43+44x^44+24x^46+12x^47+8x^48+1x^50+2x^54

The gray image is a linear code over GF(2) with n=164, k=9 and d=76.
This code was found by Heurico 1.11 in 0.015 seconds.