The generator matrix

 1  0  0  1  1  1  X X^2  1  X  1  1  0  1 X^2+X  1  1  1 X^2  1  X  1  0  1  1 X^2  1 X^2  1  X  1 X^2+X  1 X^2+X X^2+X  1  1  X  0  X  1  1  1  1  1  X X^2+X  0 X^2+X  1  1  X
 0  1  0  0 X^2+1 X+1  1 X^2 X^2+X+1  1 X+1 X^2+X  1 X^2+X  X  1 X^2+X+1  X  1 X^2  1 X^2+1  X X^2+X  0  1  1  1  1  1  X X^2+X X+1  1  1  X  0  1  1  1 X^2+X+1 X+1  0 X^2+1 X^2  1  1  1  X X^2+1  0  1
 0  0  1  1 X^2+1 X^2 X^2+1  1 X^2+X+1  X  X X^2+X X^2+1  1  1 X+1  0 X+1  X X^2+X  1 X^2  1  X X^2+X+1  X X^2+1 X+1  1 X+1 X^2+X+1  1 X^2+X X^2+X+1  0 X^2+1  0 X^2+X X^2 X^2+X+1  1  X  X X^2+X+1 X^2+1  1 X^2+X+1 X^2+1  1  1 X+1  X
 0  0  0  X  X  0  X  X X^2+X X^2 X^2 X^2  X  X  X X^2+X  X  X  0  0 X^2+X X^2 X^2+X X^2+X X^2  X X^2 X^2  0  0  0 X^2  X X^2  X X^2 X^2+X  0 X^2+X  X  0  0  X X^2+X X^2+X X^2  0 X^2  0 X^2+X  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+410x^48+488x^50+534x^52+204x^54+248x^56+80x^58+40x^60+28x^62+13x^64+2x^68

The gray image is a linear code over GF(2) with n=208, k=11 and d=96.
This code was found by Heurico 1.16 in 93.3 seconds.