The generator matrix

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

generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+58x^47+147x^48+226x^49+282x^50+318x^51+404x^52+422x^53+458x^54+500x^55+489x^56+534x^57+540x^58+562x^59+506x^60+490x^61+493x^62+416x^63+355x^64+276x^65+240x^66+168x^67+130x^68+88x^69+32x^70+26x^71+15x^72+12x^73+2x^74+1x^80+1x^94

The gray image is a linear code over GF(2) with n=116, k=13 and d=47.
This code was found by an older version of Heurico in 0 seconds.