The generator matrix

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

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+104x^50+56x^51+130x^52+16x^53+48x^54+56x^55+62x^56+32x^58+1x^60+2x^64+3x^68+1x^80

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 0.0812 seconds.