The generator matrix

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

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+20x^47+193x^48+56x^49+108x^50+60x^51+204x^52+48x^53+72x^54+44x^55+162x^56+24x^57+12x^58+4x^59+12x^60+1x^64+2x^72+1x^80

The gray image is a linear code over GF(2) with n=208, k=10 and d=94.
This code was found by Heurico 1.16 in 13.2 seconds.