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

generates a code of length 55 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+64x^48+12x^50+120x^52+76x^54+96x^56+36x^58+60x^60+4x^62+30x^64+12x^68+1x^96

The gray image is a linear code over GF(2) with n=110, k=9 and d=48.
This code was found by Heurico 1.16 in 0.063 seconds.