The generator matrix

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

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+234x^48+128x^50+320x^52+128x^54+200x^56+12x^64+1x^96

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 19.3 seconds.