The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 X 1 1 X 1 X 1 1 1 1 X 1 1 1 1 1 0 1 X X 1 X 1 0 X 1 1 1 1
0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 0 0 X X X X 0 X X 0 X X X X 0 X 0 X 0 X X 0 0 0 0 0 0 0 X 0 X X 0 0 X X 0 X 0 0 0
0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 0 0 X X 0 0 0 0 0 0 X X 0 0 X X 0 0 0 X X X 0 X 0 X X 0 0 0 X 0 X 0 X X 0 X X 0 0 0
0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X 0 X 0 X X X X 0 X 0 X 0 X 0 X X 0 X 0 0 X 0 0 X 0 0 X X X 0 0 X 0 0 X 0 0 X X 0 0 0
0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X 0 X 0 0 0 0 0 X X X 0 X X X 0 X 0 0 0 X X 0 X X 0 X X 0 0 X 0 0 X X 0 X 0 X 0 0 0
0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 X 0 X X X 0 0 X 0 X X 0 X 0 0 0 X X X X X 0 0 0 0 X X X 0 0 0 0 X X 0 X X X 0 X 0 0 0
0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X X 0 X X 0 X X 0 0 X 0 X 0 X X 0 0 X 0 X X 0 X X X 0 0 X X X 0 X 0 X X X 0 X 0 0 0 0
0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 0 X X X X X 0 X X 0 0 X X X X X 0 0 X 0 0 0 X X 0 X X 0 X 0 X 0 X 0 0 0 X X X X X 0
0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 0 0 X 0 0 0 X 0 X X 0 X 0 0 0 0 X 0 X 0 0 X X 0 X X X X 0 0 0 0 X X 0 0 0 0 X X 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+43x^48+24x^50+2x^51+64x^52+36x^53+52x^54+76x^55+48x^56+84x^57+63x^58+112x^59+35x^60+108x^61+28x^62+52x^63+22x^64+28x^65+38x^66+14x^67+26x^68+30x^70+14x^72+15x^74+3x^76+1x^78+4x^82+1x^94
The gray image is a linear code over GF(2) with n=118, k=10 and d=48.
This code was found by Heurico 1.16 in 0.231 seconds.