The generator matrix

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

generates a code of length 53 over Z2[X]/(X^3) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+160x^49+105x^50+164x^51+48x^52+180x^53+52x^54+120x^55+5x^56+88x^57+22x^58+36x^59+8x^60+20x^61+4x^62+1x^64+9x^66+1x^72

The gray image is a linear code over GF(2) with n=212, k=10 and d=98.
This code was found by Heurico 1.16 in 86.8 seconds.