The generator matrix

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

generates a code of length 52 over Z2[X]/(X^3) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+3x^50+30x^51+54x^52+28x^53+4x^54+2x^55+1x^56+2x^57+2x^61+1x^66

The gray image is a linear code over GF(2) with n=208, k=7 and d=100.
This code was found by Heurico 1.11 in 0.031 seconds.