The generator matrix

 1  0  1  1  1 X^2  1  1  0  1  1  0  0  1  1  1  1  0 X^2  1  1  1  1  0 X^2  X  X X^2+X X^2+X X^2 X^2+X  X  X X^2+X  X  1  1  1  1  1  1 X^2+X  X  1  1  X  1 X^2  1  1  1 X^2
 0  1  1  0 X+1  1 X^2+X+1  0  1 X^2  1  1  1 X+1 X^2+X X+1  X  1  1 X^2+X X^2+1 X^2+X  1  1  1  1  1  1  1  X  1  1  1  1  1  0 X^2+X X+1  1 X^2+X+1  0  1  1  0  1  1 X^2+1  1 X^2+1 X^2 X^2+X  X
 0  0  X  0  0  0  0 X^2+X X^2+X X^2+X  X X^2+X X^2 X^2+X  X X^2+X  X X^2 X^2+X X^2 X^2 X^2 X^2  X X^2+X  0  0  X X^2+X  X  0 X^2 X^2  0 X^2  0  0  X  X X^2  X X^2+X  X X^2 X^2+X  0  0  X  X X^2  X  X
 0  0  0  X X^2 X^2+X X^2+X X^2+X X^2+X X^2  X  0  0  X X^2+X  0 X^2  X X^2  X X^2+X  0 X^2 X^2  X  X X^2+X  X  X  0  0 X^2  X X^2  0 X^2+X X^2  X X^2  X X^2+X X^2+X  0  0 X^2+X  0 X^2+X X^2  0 X^2 X^2 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+201x^48+234x^50+224x^52+172x^54+150x^56+10x^58+20x^60+10x^64+2x^72

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 0.0943 seconds.