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

generates a code of length 54 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+118x^48+120x^52+216x^56+8x^60+48x^64+1x^96

The gray image is a linear code over GF(2) with n=108, k=9 and d=48.
This code was found by Heurico 1.16 in 16.9 seconds.