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

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+55x^38+136x^39+61x^40+100x^41+42x^42+48x^43+16x^44+11x^46+24x^47+12x^49+4x^50+2x^52

The gray image is a linear code over GF(2) with n=164, k=9 and d=76.
This code was found by Heurico 1.16 in 0.02 seconds.