The generator matrix

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

generates a code of length 41 over Z2[X]/(X^3) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+107x^32+274x^33+471x^34+736x^35+1282x^36+1894x^37+2607x^38+3336x^39+3697x^40+3862x^41+3745x^42+3352x^43+2717x^44+1998x^45+1178x^46+712x^47+423x^48+160x^49+124x^50+56x^51+29x^52+4x^53+2x^54+1x^62

The gray image is a linear code over GF(2) with n=164, k=15 and d=64.
This code was found by Heurico 1.16 in 23.9 seconds.