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 1 1 X X 1 1 X 1 1 1 1 1 1 X 1 1 X 1 1 X 1 1 1 X 1 1 1 1 1 X 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 0 X X X X 0 X 0 0 X X 0 0 0 X 0 X X 0 0 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 X 0 0 0 X X X X 0 X X X 0 X X 0 0 0 X 0 0 0 X 0 0 X X X 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 0 0 X 0 0 X X 0 0 X X X X X X 0 X 0 0 0 X 0 X 0 0 X 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 0 X X 0 X X 0 X 0 0 0 X X 0 0 0 0 X 0 X 0 0 X X X 0 0 X 0 X 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 X X 0 X X 0 X 0 0 X 0 0 X 0 X X 0 X 0 0 X X X X 0 0 X 0 0 0 X
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 0 0 X 0 X 0 0 X X X 0 X X X 0 0 X X 0 0 0 X 0 0 X X X 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 X X 0 X X 0 0 0 X 0 0 0 0 X 0 X 0 X X X 0 X X 0 0 X 0 0 0 0 X
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 0 0 X 0 X 0 0 0 0 X 0 X 0 X X X 0 X X 0 X X 0 0 X X 0 0 X 0 0
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+30x^48+60x^50+82x^52+121x^54+141x^56+182x^58+175x^60+87x^62+39x^64+40x^66+27x^68+15x^70+13x^72+6x^74+3x^76+1x^78+1x^100
The gray image is a linear code over GF(2) with n=116, k=10 and d=48.
This code was found by Heurico 1.16 in 0.229 seconds.