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

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+25x^48+22x^50+16x^52+128x^53+16x^54+22x^56+25x^58+1x^106

The gray image is a linear code over GF(2) with n=106, k=8 and d=48.
This code was found by Heurico 1.16 in 0.032 seconds.