The generator matrix

 1  0  0  0  0  1  1  1 X^2+X  1  1 X^2+X X^2  1  X  1  1  0  1 X^2+X X^2  1  1 X^2+X  0  1  1 X^2+X  1  1 X^2  1  X  1  1 X^2+X  1  1  0  1  1
 0  1  0  0  0  0 X^2  0 X^2 X+1  1  1  1 X^2+X+1 X^2+X X^2+X+1 X^2+X+1  1 X^2+X+1 X^2+X  1 X^2  1  1  1  X  1  1 X^2+X  1  X  0  1 X+1 X^2+1  1  0  0  1  0  0
 0  0  1  0  0  0  1  1  1 X^2+1 X^2+X+1  X X^2+X X+1  1  X X^2  1 X+1 X^2 X^2+X+1 X^2+X X^2 X^2+1  1 X^2+X+1  X  0 X+1 X^2+X X^2 X^2+X  0 X^2 X+1 X^2+X+1 X^2+X+1 X^2+X+1 X+1 X^2+X  0
 0  0  0  1  0  1  1  X X^2+X+1 X^2 X^2+X+1 X+1  1 X^2+1 X^2+1 X^2+X+1  X X^2  0  1  0 X^2+X+1 X^2+X+1 X^2+1 X^2+1 X^2+X+1  1 X^2+X  1  0  1 X+1  0 X^2+X X^2+1  0 X^2+X+1  X  1  1  0
 0  0  0  0  1  1  X X+1 X+1 X^2+1 X+1  1 X^2  X  0 X^2+X+1  0  X  X X^2+1  1  X  0  0  1 X^2+1  1 X^2+1 X+1 X+1 X^2+1 X^2  X X^2+X X^2 X^2+1 X^2 X^2+1 X^2+1  X  0
 0  0  0  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0  0  0 X^2  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+92x^32+452x^33+934x^34+1634x^35+2705x^36+4030x^37+5025x^38+6498x^39+6895x^40+8376x^41+7342x^42+6860x^43+5343x^44+4010x^45+2402x^46+1442x^47+810x^48+400x^49+160x^50+78x^51+24x^52+12x^53+9x^54+2x^56

The gray image is a linear code over GF(2) with n=164, k=16 and d=64.
This code was found by Heurico 1.13 in 27.9 seconds.