The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  X  X  1  1  1
 0  X  0  0  0  0  0  0  0  X X^2+X  X  X X^2+X X^2  0  X X^2+X X^2  X X^2 X^2  0  0 X^2 X^2+X X^2  X  X X^2  X  0  X  X X^2+X X^2+X  X  X  0 X^2  X
 0  0  X  0  0  0  X X^2+X  X  0  0  0  X  X  0  X X^2  0 X^2+X X^2+X X^2  X  X X^2  X  X X^2+X X^2 X^2+X X^2  0 X^2 X^2+X  X X^2  0 X^2+X X^2+X X^2+X  0  0
 0  0  0  X  0  X  X X^2+X  0  X  X X^2  0 X^2 X^2+X  X  X  X X^2+X X^2+X  X  0  X  0 X^2+X X^2+X X^2  0  X X^2  0 X^2+X X^2  0  0  0 X^2+X X^2+X X^2  X X^2+X
 0  0  0  0  X  X  0 X^2+X  X X^2 X^2+X X^2+X  0 X^2+X X^2 X^2  X X^2  X X^2+X X^2+X  X X^2+X X^2 X^2  0 X^2  0 X^2  X  X  X  X  X  X X^2 X^2+X  X  X X^2+X X^2+X
 0  0  0  0  0 X^2  0  0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0  0  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0 X^2  0
 0  0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2
 0  0  0  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0 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+239x^32+636x^34+815x^36+1358x^38+512x^39+3071x^40+3072x^41+3116x^42+512x^43+1389x^44+848x^46+574x^48+184x^50+51x^52+2x^54+3x^56+1x^76

The gray image is a linear code over GF(2) with n=164, k=14 and d=64.
This code was found by Heurico 1.16 in 10.6 seconds.