The generator matrix

1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 X 0 1 1 1 0 0 X 1 1 X 0 1 1 0 0 X X 1 0 1 1 0 1 X 1 X X 1 0 0 1 0 1 1 1 1 0 1 X X
0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X+1 X 1 1 X X+1 X+1 0 X 1 X+1 X 1 1 X+1 X X 1 1 X X+1 0 X 1 1 X 0 X+1 0 1 0 0 0 X+1 X X+1 X X X+1 X X+1 1 0
0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 1 1 0 X+1 X+1 X X+1 1 X 0 0 0 X 0 X+1 X+1 1 1 X+1 X X 1 X+1 0 X X X X+1 X 0 1 1 0 1 1 X+1 X 0 1 0 X X 1
0 0 0 1 0 0 0 1 1 1 1 1 0 1 X 0 X+1 X X+1 0 1 X+1 X+1 1 X+1 X+1 X 0 1 0 1 1 X X 1 1 0 X+1 0 X X 0 X 1 X+1 0 0 X 1 X 0 1 1 1 0 X+1 0 0
0 0 0 0 1 0 1 0 X+1 1 1 1 X X+1 1 1 X X+1 0 0 X+1 0 0 X X X 0 X X+1 0 1 1 X 1 1 X+1 0 1 0 X X+1 1 X 1 0 X X+1 1 0 0 X X+1 X+1 X 1 X 1 1
0 0 0 0 0 1 1 X+1 X 1 0 X 1 X+1 X X+1 0 1 0 X+1 1 1 X+1 X X+1 X 0 0 0 0 1 0 X+1 0 1 1 X 1 0 X+1 0 1 X+1 X 0 0 X X+1 X 1 X 0 X+1 0 X 0 X X
0 0 0 0 0 0 X X 0 0 0 0 0 0 X X X X X 0 0 X X X X 0 X X X X X X X 0 X X X 0 X 0 0 0 0 X 0 0 0 0 X X 0 X 0 X 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+275x^48+570x^50+814x^52+944x^54+986x^56+1076x^58+1066x^60+870x^62+730x^64+476x^66+255x^68+90x^70+32x^72+6x^74+1x^84

The gray image is a linear code over GF(2) with n=116, k=13 and d=48.
This code was found by Heurico 1.10 in 371 seconds.