The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  0  1  X X^2  X  X  1 X^2  0  1  1  X  1  X  1  1  1  1  1  1  1 X^2  X  1
 0  X  0  X  0  0  X X^2+X  0 X^2 X^2+X  X  0  X  X X^2  0  0 X^2  X  X X^2+X X^2+X X^2  X  X  X  0  X X^2 X^2 X^2+X X^2+X  0  0  0  X  0  X X^2+X  0
 0  0  X  X  0 X^2+X  X  0 X^2  X  0  X  0 X^2+X X^2  X X^2+X  X  X  X X^2+X  0  0 X^2  X  0  0  0 X^2+X  X  X  X X^2+X X^2+X X^2  0 X^2  X  X  0  0
 0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0
 0  0  0  0 X^2  0  0  0  0  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0  0  0 X^2  0 X^2  0  0 X^2  0  0
 0  0  0  0  0 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0
 0  0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0
 0  0  0  0  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2  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+28x^32+42x^33+87x^34+118x^35+142x^36+262x^37+291x^38+378x^39+479x^40+458x^41+486x^42+406x^43+304x^44+210x^45+122x^46+110x^47+51x^48+52x^49+31x^50+12x^51+18x^52+3x^54+1x^56+4x^58

The gray image is a linear code over GF(2) with n=164, k=12 and d=64.
This code was found by Heurico 1.16 in 0.66 seconds.