The generator matrix

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

generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+294x^48+558x^50+815x^52+916x^54+986x^56+1054x^58+1093x^60+914x^62+739x^64+436x^66+265x^68+82x^70+28x^72+8x^74+2x^76+1x^92

The gray image is a linear code over GF(2) with n=116, k=13 and d=48.
This code was found by Heurico 1.16 in 48.8 seconds.