The generator matrix

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

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+47x^48+62x^49+90x^50+92x^51+86x^52+106x^53+66x^54+78x^55+56x^56+56x^57+44x^58+46x^59+38x^60+14x^61+34x^62+26x^63+24x^64+16x^65+16x^66+14x^67+4x^68+4x^70+2x^73+2x^74

The gray image is a linear code over GF(2) with n=110, k=10 and d=48.
This code was found by Heurico 1.16 in 0.142 seconds.