The generator matrix

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

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+104x^48+122x^49+207x^50+298x^51+308x^52+422x^53+410x^54+468x^55+544x^56+458x^57+488x^58+492x^59+543x^60+550x^61+435x^62+534x^63+467x^64+392x^65+263x^66+208x^67+188x^68+92x^69+96x^70+46x^71+20x^72+12x^73+18x^74+2x^75+3x^78+1x^92

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 8.65 seconds.