The generator matrix

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

generates a code of length 52 over Z2[X]/(X^3) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+70x^46+246x^47+418x^48+402x^49+472x^50+394x^51+427x^52+338x^53+332x^54+248x^55+254x^56+182x^57+132x^58+82x^59+43x^60+22x^61+26x^62+6x^63+1x^64

The gray image is a linear code over GF(2) with n=208, k=12 and d=92.
This code was found by Heurico 1.11 in 0.203 seconds.