The generator matrix

 1  0  1  1  1 X^2+X  1  1  0  1  1 X^2+X  1  1  0  1  1 X^2+X  1  1 X^2  1  1  X  1  1  0  1  1 X^2+X  1  X  1  1  1  1  1  0 X^2 X^2+X X^2 X^2 X^2+X  X  1  1  1  1  1  1  1  1
 0  1 X+1 X^2+X  1  1 X+1  0  1 X^2+X X^2+1  1  0 X+1  1 X^2+X X^2+1  1 X^2 X^2+X+1  1  X X^2+1  1  0 X+1  1 X^2+X X^2+1  1  0 X^2  X  0  X  0  X  X  1  1  1  1  1  1 X^2 X^2+X  X X+1 X^2 X^2+1 X^2  0
 0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0  0  0 X^2  0
 0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2  0
 0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2  0 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+25x^48+64x^49+84x^50+88x^51+44x^52+56x^53+72x^54+8x^55+22x^56+40x^57+4x^58+1x^60+2x^68+1x^76

The gray image is a linear code over GF(2) with n=208, k=9 and d=96.
This code was found by Heurico 1.16 in 0.0601 seconds.