The generator matrix

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

generates a code of length 54 over Z2[X]/(X^3) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+296x^52+172x^56+36x^60+3x^64+4x^68

The gray image is a linear code over GF(2) with n=216, k=9 and d=104.
As d=105 is an upper bound for linear (216,9,2)-codes, this code is optimal over Z2[X]/(X^3) for dimension 9.
This code was found by Heurico 1.16 in 49.9 seconds.