The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  X  1  X
 0  X  0  0  0  X  X  X  0  0  0  0  X  X  X  X  0  0  X X^2+X X^2 X^2 X^2+X  X X^2+X X^2 X^2+X X^2  X X^2 X^2+X  0 X^2+X X^2 X^2 X^2 X^2+X  X X^2+X  0  0 X^2 X^2+X X^2  X X^2 X^2  X X^2  X  X X^2+X  0
 0  0  X  0  X  X  X  0  0  0  X  X  X  X  0  0 X^2 X^2 X^2+X  X X^2+X  X  0 X^2 X^2+X X^2+X  0 X^2 X^2+X X^2  0 X^2+X X^2  0  X X^2+X  X X^2  X X^2 X^2+X X^2+X X^2+X X^2 X^2  0  0 X^2+X  X  X X^2 X^2  0
 0  0  0  X  X  0  X  X X^2 X^2+X X^2+X X^2 X^2 X^2+X X^2+X X^2 X^2  X X^2  X  X  0 X^2+X  0 X^2+X X^2 X^2  0  0  X  X X^2+X X^2  0 X^2+X  0  0 X^2+X X^2+X X^2+X  0 X^2+X X^2 X^2  X X^2+X  X  X  X  X X^2+X  X X^2+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+76x^50+24x^51+126x^52+80x^53+116x^54+24x^55+43x^56+16x^58+5x^60+1x^100

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 0.14 seconds.