The generator matrix

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

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+98x^46+284x^47+301x^48+518x^49+387x^50+474x^51+334x^52+362x^53+294x^54+332x^55+202x^56+162x^57+116x^58+138x^59+38x^60+30x^61+16x^62+4x^63+4x^64+1x^66

The gray image is a linear code over GF(2) with n=208, k=12 and d=92.
This code was found by Heurico 1.16 in 0.491 seconds.