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

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+58x^32+92x^33+166x^34+242x^35+303x^36+438x^37+597x^38+812x^39+924x^40+990x^41+911x^42+766x^43+632x^44+442x^45+304x^46+186x^47+113x^48+78x^49+66x^50+40x^51+17x^52+8x^53+3x^54+2x^55+1x^58

The gray image is a linear code over GF(2) with n=164, k=13 and d=64.
This code was found by Heurico 1.16 in 2.83 seconds.