The generator matrix

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

generates a code of length 52 over Z2[X]/(X^3) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+100x^47+325x^48+212x^49+64x^50+200x^51+318x^52+200x^53+64x^54+212x^55+183x^56+100x^57+57x^60+10x^64+1x^72+1x^76

The gray image is a linear code over GF(2) with n=208, k=11 and d=94.
This code was found by Heurico 1.16 in 43.9 seconds.