The generator matrix

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

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+534x^46+1299x^48+1762x^50+1386x^52+1442x^54+1012x^56+558x^58+142x^60+56x^62

The gray image is a linear code over GF(2) with n=208, k=13 and d=92.
This code was found by Heurico 1.11 in 1.03 seconds.