The generator matrix

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

generates a code of length 54 over Z2[X]/(X^3) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+96x^51+54x^52+128x^53+16x^54+72x^55+54x^56+60x^57+24x^59+1x^60+4x^65+1x^68+1x^88

The gray image is a linear code over GF(2) with n=216, k=9 and d=102.
This code was found by Heurico 1.16 in 0.0862 seconds.