The generator matrix

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

generates a code of length 53 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+81x^48+120x^50+120x^52+36x^54+75x^56+24x^58+24x^60+4x^62+10x^64+8x^66+8x^68+1x^72

The gray image is a linear code over GF(2) with n=106, k=9 and d=48.
This code was found by Heurico 1.16 in 0.0471 seconds.