The generator matrix

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

generates a code of length 52 over Z2[X]/(X^3) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+100x^49+48x^50+128x^51+30x^52+64x^53+40x^54+60x^55+7x^56+28x^57+4x^63+1x^64+1x^80

The gray image is a linear code over GF(2) with n=208, k=9 and d=98.
This code was found by Heurico 1.16 in 0.0772 seconds.