The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  X  1  1  X  1  X  1  X  1  1  0  1  1  1
 0  X  0  0  0  0  0  0  0  X  X  X  0  X  0  0  X  0  X  X  0  0  0  0  0  X  0  X  0  0  0  X  X  X  0  X  0  0  X  X  X  X  0  X  X  X  X  0  0  X  0  0  0
 0  0  X  0  0  0  0  0  X  X  X  X  0  0  0  X  0  X  X  0  0  0  0  0  0  0  X  X  X  X  X  X  0  0  0  X  0  0  0  X  0  0  X  X  X  X  0  0  X  0  X  0  X
 0  0  0  X  0  0  0  0  X  0  0  X  0  X  0  0  0  0  0  0  X  X  X  X  X  0  X  0  X  X  X  X  0  0  X  X  0  X  0  X  0  X  0  0  0  X  X  0  0  X  0  0  X
 0  0  0  0  X  0  0  0  X  0  X  X  X  0  0  X  X  0  0  X  X  X  X  X  0  0  0  X  0  0  0  X  0  0  0  X  X  0  0  X  0  X  X  0  X  0  0  X  0  X  X  0  0
 0  0  0  0  0  X  0  0  X  0  X  0  0  X  X  X  0  0  X  X  0  0  0  X  X  X  X  0  X  0  0  X  0  X  0  X  X  X  0  0  0  X  X  0  0  X  0  X  X  X  X  X  X
 0  0  0  0  0  0  X  0  X  X  0  0  0  X  X  0  X  X  X  0  0  0  X  X  0  0  0  0  X  X  0  0  X  0  X  X  0  0  X  X  0  X  X  0  X  X  X  X  X  0  0  0  0
 0  0  0  0  0  0  0  X  X  X  0  X  X  0  X  0  0  0  X  X  0  X  X  0  0  0  0  0  X  0  X  X  0  X  0  0  X  X  X  X  X  0  0  X  X  X  0  X  X  X  X  X  0

generates a code of length 53 over Z2[X]/(X^2) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+40x^46+75x^48+48x^49+160x^53+54x^54+35x^56+48x^57+31x^62+16x^64+2x^70+1x^72+1x^94

The gray image is a linear code over GF(2) with n=106, k=9 and d=46.
This code was found by Heurico 1.16 in 12.8 seconds.