The generator matrix

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

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+50x^50+156x^51+82x^52+46x^53+40x^54+48x^55+24x^56+6x^57+20x^58+32x^59+4x^60+1x^66+1x^68+1x^70

The gray image is a linear code over GF(2) with n=212, k=9 and d=100.
This code was found by Heurico 1.16 in 0.0434 seconds.