The generator matrix

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

generates a code of length 54 over Z2[X]/(X^3) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+72x^49+189x^50+266x^51+300x^52+262x^53+206x^54+178x^55+132x^56+106x^57+104x^58+66x^59+40x^60+46x^61+22x^62+18x^63+23x^64+10x^65+7x^66

The gray image is a linear code over GF(2) with n=216, k=11 and d=98.
This code was found by Heurico 1.11 in 0.094 seconds.