The generator matrix

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

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+122x^49+194x^50+222x^51+272x^52+228x^53+232x^54+174x^55+126x^56+130x^57+100x^58+68x^59+46x^60+64x^61+48x^62+14x^63+1x^64+2x^66+2x^67+2x^68

The gray image is a linear code over GF(2) with n=216, k=11 and d=98.
This code was found by Heurico 1.16 in 0.192 seconds.