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
 0  X  0  0  0  0  0  0  0  0  0  0  0  X  X  X  0  0  X  X  0  X  0  X  0  X  X  0  X  X  X  0  0  X  0  X  X  0  0  0  0  0  X  X  X  X  X  X
 0  0  X  0  0  0  0  0  0  0  0  0  X  0  X  X  0  X  X  0  X  X  0  0  X  X  0  X  0  0  X  0  X  X  X  X  0  0  X  X  0  X  X  0  X  0  X  0
 0  0  0  X  0  0  0  0  0  0  0  X  0  0  X  X  X  0  X  0  0  X  X  0  X  0  X  X  X  0  0  X  0  X  X  0  X  X  X  0  X  X  0  0  0  0  X  X
 0  0  0  0  X  0  0  0  X  X  X  X  X  X  X  0  X  X  X  X  X  X  X  0  0  X  0  X  0  0  0  0  X  0  0  X  X  X  X  0  0  0  0  0  X  X  X  X
 0  0  0  0  0  X  0  X  X  X  0  0  0  0  0  0  0  X  X  0  X  X  X  X  0  0  0  X  X  0  X  X  0  X  0  X  X  X  X  X  X  X  X  X  X  X  0  0
 0  0  0  0  0  0  X  X  0  X  X  0  0  0  0  0  X  X  0  X  0  X  X  0  0  X  0  0  X  X  X  0  X  X  X  X  0  0  X  0  X  0  0  X  0  X  X  0

generates a code of length 48 over Z2[X]/(X^2) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+48x^44+158x^48+48x^52+1x^96

The gray image is a linear code over GF(2) with n=96, k=8 and d=44.
This code was found by Heurico 1.16 in 0.0498 seconds.