The generator matrix

 1  0  0  1  1  1  0  X  1 X^2  1  1  X  1 X^2+X  0  X  X  0  1  1  1  1  1  1  0 X^2  1  1  1  1 X^2  1  1  1  1 X^2+X  1  1  1 X^2+X  1  1  1  X  1  1  1  1 X^2+X  1  X  1
 0  1  0  0  1  1  1 X^2 X^2+1  1 X^2 X+1  1  X  1 X^2+X  1 X^2+X  1 X^2+1 X^2+X X^2+X+1  0  1 X^2+X  1  1 X+1 X^2+X+1  0  1  X X^2  1  X X^2+X  1  0  X X^2+X+1  1  1 X+1 X^2+1  1 X+1 X^2+1 X^2+1 X^2+X+1 X^2+X X^2+1  1  0
 0  0  1  1 X^2 X^2+1  1  1  X X^2+X X^2+X X^2+1 X^2+X+1  1 X^2+1  1  0  1 X+1 X^2+X+1 X+1 X^2+X+1 X+1 X^2+X  0  X X^2+1 X^2 X^2+X+1  X  0  1 X^2+X+1 X^2+X+1  X X+1  X X^2+1  0 X^2+X X^2+1  1 X^2+1  X X^2 X+1 X+1  1 X^2+X  1 X^2+1  X X^2
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2  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+72x^49+191x^50+120x^51+153x^52+124x^53+109x^54+62x^55+34x^56+34x^57+42x^58+18x^59+34x^60+10x^61+9x^62+8x^63+1x^64+1x^66+1x^68

The gray image is a linear code over GF(2) with n=212, k=10 and d=98.
This code was found by Heurico 1.11 in 0.062 seconds.