The generator matrix

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

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+92x^46+232x^47+373x^48+416x^49+448x^50+432x^51+410x^52+408x^53+322x^54+296x^55+174x^56+176x^57+142x^58+64x^59+52x^60+24x^61+18x^62+12x^64+2x^66+2x^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 0.577 seconds.