The generator matrix

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

generates a code of length 52 over Z2[X]/(X^3) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+54x^49+114x^50+120x^51+62x^52+44x^53+45x^54+15x^56+22x^57+16x^58+8x^59+8x^61+1x^62+2x^64

The gray image is a linear code over GF(2) with n=208, k=9 and d=98.
This code was found by Heurico 1.11 in 0.031 seconds.