The generator matrix

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

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+141x^50+114x^51+182x^52+24x^53+185x^54+66x^55+124x^56+8x^57+78x^58+34x^59+40x^60+10x^62+6x^63+3x^64+4x^67+2x^68+1x^74+1x^78

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 18.9 seconds.