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

generates a code of length 54 over Z2[X]/(X^3) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+227x^50+174x^52+284x^54+125x^56+166x^58+18x^60+20x^62+7x^66+1x^72+1x^80

The gray image is a linear code over GF(2) with n=216, k=10 and d=100.
This code was found by Heurico 1.16 in 3.03 seconds.