The generator matrix

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

generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+170x^48+423x^50+667x^52+835x^54+964x^56+1029x^58+1061x^60+983x^62+853x^64+661x^66+329x^68+144x^70+44x^72+15x^74+7x^76+5x^78+1x^102

The gray image is a linear code over GF(2) with n=118, k=13 and d=48.
This code was found by Heurico 1.16 in 8.76 seconds.