The generator matrix

 1  0  0  1  1  1  X X^2+X  1  1  1 X^2  1 X^2  1  1  1  1 X^2 X^2+X  1  1 X^2+X  X X^2  1  1  1  0  1  0  X  1  X  1  0 X^2  1  1 X^2+X  1  1 X^2+X  1 X^2  0  1  1  0 X^2  1  1
 0  1  0  0  1 X+1  1 X^2  0  0 X+1  1 X^2+X+1  1  X X^2+X X^2+X+1  1  X  1 X^2 X^2+X+1  1  1  X X^2+X+1  0  X  X  X  1  1  X  1 X+1 X^2  1 X+1 X^2+X X^2 X^2+X+1  X  1 X+1  1  1  0 X^2+1  1  X X^2 X^2+X
 0  0  1  1  1  0  1  1 X^2+X X^2+X+1 X+1 X^2+1  X  X  1 X^2 X^2 X^2+1  1  1 X^2 X^2+1  0 X^2+X  1  X X^2+1  0  1 X+1  0 X^2+X X+1 X+1 X^2+X+1  1  1  1 X^2  1  1  0 X+1 X+1  0 X^2+X X^2+X+1  1  X  1 X^2+X X^2+1
 0  0  0  X  0 X^2 X^2 X^2 X^2  X  0 X^2  0 X^2 X^2 X^2  X  X  X  X X^2+X X^2+X X^2+X  0 X^2+X  X X^2  X X^2 X^2+X  0 X^2+X X^2  0 X^2+X  X  0  X X^2+X X^2+X  0  0 X^2+X  X X^2+X  0 X^2 X^2+X X^2+X  0 X^2  X
 0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0  0 X^2  0 X^2 X^2  0  0  0 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0  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+108x^46+228x^47+389x^48+390x^49+483x^50+348x^51+462x^52+334x^53+364x^54+238x^55+322x^56+140x^57+125x^58+72x^59+35x^60+30x^61+6x^62+10x^63+6x^64+2x^65+2x^66+1x^68

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 0.594 seconds.