The generator matrix

 1  0  0  1  1  1  X  1  1  1  1  0  X  0  1  1  X  1  X  0  1  1  1  0  1  X  0  1  X  0  1  1  1  1  1  0  1  0  0  X  X  0  X  1  1  X  1  0  X  1  X  0
 0  1  0  0  1  1  1  0  X X+1  1  1  1  X  0  1  1 X+1  X  1  0  0 X+1  1 X+1  1  0 X+1  1  0  X  X  X  X  0  0  1  1  1  1  0  1  1 X+1  1  X  0  1  1  X  0  1
 0  0  1  1  1  0  1  X X+1  X X+1  X  1  1  X  1 X+1  0  1  0 X+1 X+1  0  1  0 X+1  1  1  X  1 X+1  1 X+1  1 X+1  1 X+1 X+1 X+1  0  1  X  1  0  X  1  X  0  1  0  1  0
 0  0  0  X  0  0  0  0  0  X  X  X  0  X  0  X  X  0  X  0  0  X  X  X  X  0  X  0  X  0  0  X  X  0  0  0  0  X  0  X  X  0  X  0  X  0  X  X  0  0  0  0
 0  0  0  0  X  0  0  X  X  0  0  X  X  0  0  X  X  X  0  X  X  0  X  0  0  0  X  0  0  0  X  X  X  0  0  X  X  X  X  0  0  0  X  0  X  X  X  X  0  X  X  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  X  X  X  X  X  0  0  X  X  0  0  X  X  X  0  X  X  X  0  X  X  0  X  X  0  0  0  X  0  0  0  X  0  X  X  X  X  0  0

generates a code of length 52 over Z2[X]/(X^2) who�s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+26x^46+40x^47+54x^48+74x^49+41x^50+42x^51+44x^52+24x^53+31x^54+26x^55+16x^56+18x^57+21x^58+16x^59+8x^60+12x^61+3x^62+2x^63+1x^64+6x^66+2x^67+4x^68

The gray image is a linear code over GF(2) with n=104, k=9 and d=46.
This code was found by Heurico 1.16 in 0.047 seconds.