The generator matrix

 1  0  0  1  1  1  0  X  1 X^2  1  1  X  1 X^2+X  X  X  0  1  0  1  1  1  1  1  1  0  1 X^2  X  X  0 X^2  X X^2 X^2+X  X X^2  1  1  1  1  1  1 X^2+X X^2 X^2+X  X  0  1  1  1  X  1
 0  1  0  0  1  1  1 X^2 X^2+1  1 X^2 X+1  1  X  1 X^2+X  1 X^2+X  X  1 X^2+X X^2+X+1 X+1 X^2+X X^2+X+1 X^2  1 X^2+1  1  1  1  1  1  1  1  1  1  1  0  0 X^2+1 X^2+X+1 X+1 X^2+X+1  1  1  1  1  1 X^2+1  0 X^2+X+1  X  0
 0  0  1  1 X^2 X^2+1  1  1  X X^2+X X^2+X X^2+1 X^2+X+1  1 X^2+1  1  0  1  1 X^2+X+1  X X^2+X X^2+1 X^2  0  1  X X^2+1 X^2+X X^2  X  0  1 X^2+X+1 X+1  1  0 X^2 X+1 X^2+X+1 X^2+X  0  X X^2  0 X^2+X+1 X^2+X  1 X^2  0 X^2+X X+1  1  0
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0  0 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0  0  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+88x^50+174x^51+137x^52+170x^53+75x^54+98x^55+57x^56+70x^57+44x^58+40x^59+11x^60+16x^61+26x^62+8x^63+2x^64+5x^66+1x^70+1x^74

The gray image is a linear code over GF(2) with n=216, k=10 and d=100.
This code was found by Heurico 1.11 in 0.062 seconds.