The generator matrix

 1  0  0  1  1  1  0 X^2  1  1 X^2  1 X^2+X  1  1  X X^2+X  1  1  1 X^2+X  1  X X^2  X  1  1  1  1  1  1  1  X X^2+X  1  1  1  1 X^2 X^2  1  X  1  0  0  0 X^2+X  1  1  1  1  1
 0  1  0  0 X^2+1 X^2+1  1  X X^2  1  1 X^2+X  1 X+1  X  1 X^2 X^2+1 X^2+X  1  1  X  1  1  X X^2  1 X^2+X+1 X^2+X  X X+1 X+1  1  1 X^2 X^2 X^2+X+1 X+1  1  1 X+1  1  1  1 X^2 X^2+X  1 X^2+X X^2+X+1 X+1 X+1  0
 0  0  1 X+1 X^2+X+1 X^2 X^2+X+1  1  X X^2+1  1  1  0 X^2  0  1  1  X  1 X^2+1  0  X X+1 X^2  1 X+1 X^2+X+1  X X+1 X^2+X+1 X+1 X^2+X+1  X  X  1 X^2+1  1 X^2+1  X X^2+X  0  1 X^2+X X+1  1  1 X+1 X^2 X^2+1 X^2+X X^2  0
 0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0  0  0  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  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+82x^48+118x^49+256x^50+132x^51+110x^52+48x^53+57x^54+20x^55+52x^56+42x^57+46x^58+24x^59+34x^60+1x^62+1x^64

The gray image is a linear code over GF(2) with n=208, k=10 and d=96.
This code was found by Heurico 1.16 in 0.0824 seconds.