The generator matrix

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

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+30x^46+44x^47+64x^48+30x^49+32x^50+80x^51+33x^52+22x^53+40x^54+48x^55+17x^56+10x^57+16x^58+16x^59+4x^60+2x^61+6x^62+4x^63+3x^64+3x^68+4x^70+3x^72

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.