The generator matrix

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

generates a code of length 52 over Z2[X]/(X^3) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+66x^48+156x^49+204x^50+164x^51+89x^52+84x^53+46x^54+48x^55+43x^56+24x^57+40x^58+24x^59+12x^60+8x^61+6x^62+4x^63+4x^64+1x^68

The gray image is a linear code over GF(2) with n=208, k=10 and d=96.
This code was found by Heurico 1.11 in 0.047 seconds.