The generator matrix

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

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+12x^52+48x^53+6x^54+48x^55+2x^56+8x^58+1x^64+2x^70

The gray image is a linear code over GF(2) with n=216, k=7 and d=104.
This code was found by Heurico 1.11 in 0.047 seconds.