The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  1  1  1 X^2 X^2+X  1  1  0  1 X^2+X  1  1  1 X^2  1 X^2  1  1  1  0  1  1 X^2  1 X^2  1  1 X^2+X  1  1 X^2+X  1  1  0 X^2  1  1  1  X
 0  1  1  0 X^2+X+1  1 X+1 X^2+X  1 X^2  1 X^2+1  X X+1 X^2+X X+1  1  1  0  1  1 X^2+1  1  X  1 X^2  1  0  1 X^2+X+1  1  1  1 X^2+X X^2  1 X^2  1 X+1  1  1  X  0  1 X^2+1 X^2+1  1  0  0  1 X+1  0
 0  0  X  0 X^2+X  0 X^2 X^2  X X^2+X X^2+X X^2 X^2+X  X X^2+X  0  0  X X^2+X X^2 X^2+X  X X^2 X^2 X^2  X X^2+X  0 X^2+X X^2  X X^2+X  0  0 X^2 X^2 X^2+X X^2+X X^2+X  0  0 X^2 X^2+X X^2  X  X  0  X X^2  X  0 X^2+X
 0  0  0  X  0  0  0 X^2 X^2 X^2  0  0 X^2  X X^2+X  X  X  X  X  X  X X^2+X X^2+X X^2+X X^2 X^2 X^2  0 X^2+X  X X^2+X X^2 X^2  X  0 X^2  X  X X^2+X  X  X  0  0 X^2+X  0  0 X^2+X  X  X  X X^2+X  X
 0  0  0  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2
 0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  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+254x^46+92x^47+443x^48+228x^49+581x^50+192x^51+621x^52+200x^53+558x^54+220x^55+369x^56+84x^57+136x^58+8x^59+47x^60+30x^62+19x^64+7x^66+4x^68+2x^70

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 7.91 seconds.