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

generates a code of length 53 over Z2[X]/(X^3) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+14x^50+80x^52+64x^53+80x^54+12x^56+2x^58+1x^64+2x^72

The gray image is a linear code over GF(2) with n=212, k=8 and d=100.
This code was found by Heurico 1.16 in 0.055 seconds.