The generator matrix

 1  0  0  1  1  1  0 X^2  1  1 X^2  1 X^2+X  1  1  X X^2+X  1  1  1 X^2+X  1  X  X X^2  1  1  1  1  1  1  1  X X^2+X  1  1  1  1 X^2 X^2  1  1  0  1 X^2+X  X  0  1 X^2+X X^2+X  0  1  1  1
 0  1  0  0 X^2+1 X^2+1  1  X X^2  1  1 X^2+X  1 X+1  X  1 X^2 X^2+1 X^2+X  1  1  X  1  X  1 X^2  1 X^2+X+1 X^2+X  X X+1 X+1  1  1 X^2 X^2 X^2+X+1 X+1  1  1 X+1 X+1 X^2  1  1  1  1 X^2+1 X^2 X^2+X  1 X^2+X+1 X+1  X
 0  0  1 X+1 X^2+X+1 X^2 X^2+X+1  1  X X^2+1  1  1  0 X^2  0  1  1  X  1 X^2+1  0  X X+1  1 X^2 X+1 X^2+X+1  X X+1 X^2+X+1 X+1 X^2+X+1  X  X  1 X^2+1  1 X^2+1  X X^2+X  0 X^2+X  1 X^2 X+1  1 X+1  X  1  1 X^2+1 X^2+X+1  1  1
 0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0  0  0  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 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+45x^50+156x^51+242x^52+180x^53+91x^54+60x^55+10x^56+36x^57+35x^58+40x^59+80x^60+40x^61+5x^62+1x^64+2x^68

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 0.0914 seconds.