The generator matrix

 1  0  0  1  1  1  0  0  1  1 X^2  1  1  0  1  1 X^2  1 X^2+X  1  X  1  1  1 X^2  1 X^2  X  1  1  1  1  1  1 X^2+X  0  X  1  X X^2+X  X  1  1  1  1  1  1  X  1  1  X  1
 0  1  0  0  1  1  1  0 X^2 X^2+1  1  1  0  1 X^2+1 X+1 X^2+X X^2  1 X^2  1  X X^2+X+1 X^2+X  1 X+1  1 X^2 X^2+1 X^2+X+1 X+1  X X^2 X^2+X+1  X  X  1  1  1  1  X X^2+X+1 X^2+1 X^2 X^2+X  0 X^2+X+1  X X^2+X+1 X^2+1  1  0
 0  0  1  1 X^2 X^2+1  1  1  0  0  0 X^2+1  1  1 X^2  1  1 X+1 X^2+1  X  X X^2+1 X^2 X^2+X X^2+X X+1 X^2+X+1  1  0 X^2 X^2+X  0  X X+1  1  1 X^2+X X+1 X^2 X+1  1 X^2+X+1  X X^2+X+1  1 X+1 X^2+X  1 X+1 X+1 X^2+X+1  1
 0  0  0  X  0  X  X X^2+X  X X^2+X  X X^2 X^2 X^2  X  0 X^2+X X^2  0  0 X^2+X X^2+X  0  X X^2  X X^2+X  0 X^2 X^2 X^2+X X^2 X^2+X  0  X X^2  0 X^2+X X^2+X  X  0 X^2  X  X  0  0 X^2  X X^2+X X^2+X X^2  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+66x^47+195x^48+308x^49+288x^50+194x^51+187x^52+192x^53+168x^54+116x^55+93x^56+94x^57+34x^58+34x^59+49x^60+12x^61+4x^62+6x^63+3x^64+2x^65+2x^66

The gray image is a linear code over GF(2) with n=208, k=11 and d=94.
This code was found by Heurico 1.11 in 0.094 seconds.