The generator matrix
1 0 0 1 1 1 0 1 1 1 1 1 0 X 0 1 0 1 1 X 0 1 1 1 X 1 0 X 1 X 1 1 X 1 1 X 1 1 X 1 0 1 1 1 1 1 1 1 0 1 0 0 1 X 1 X 0 X 1
0 1 0 1 0 1 1 0 0 1 X+1 X 1 1 0 X 0 X+1 X+1 1 1 1 X 1 0 0 1 1 X 1 1 X+1 1 1 X X X+1 X 1 X+1 X X+1 0 1 0 0 0 X X X 1 X X X 1 0 0 0 0
0 0 1 1 1 0 1 0 1 X+1 X 1 X 1 1 0 1 X+1 0 1 0 1 1 X+1 1 X+1 X 1 0 1 X+1 X+1 X 1 1 1 X 0 1 X 1 X 1 X X 1 1 1 1 0 1 1 0 1 1 X 1 0 0
0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 X 0 X 0 0 X 0 0 0 X X 0 X X X 0 0 X X X X X 0 X X 0 X 0 X 0 X 0 X 0 X X X 0
0 0 0 0 X 0 0 0 0 0 0 0 X X X X 0 X 0 X X X X 0 0 X 0 0 0 X X 0 0 X X X X X X X 0 X X X 0 X X X X X X X X 0 X X X X 0
0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X X X 0 0 X X X X X X 0 X X X 0 X X X X 0 0 0 0 0 0 X 0 X 0 0 X X 0 X 0
0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X X 0 X X 0 0 0 X X X X X X 0 X 0 0 0 0 X 0 0 0 X X 0 0 X X 0 X X X X X X 0 X 0 0 0
0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X X X 0 0 X 0 0 X X 0 X 0 X 0 X X 0 X X 0 0 0 X 0 X 0 X 0 0 X 0 0 0 X 0 0 0 0 X X X 0
0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 X 0 X X X 0 0 0 0 X X 0 X 0 X X 0 0 X 0 0 X 0 X X 0 0 X 0 X X 0 0 0 0 0 0 X 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+45x^48+50x^49+119x^50+136x^51+188x^52+212x^53+230x^54+216x^55+242x^56+280x^57+242x^58+278x^59+222x^60+252x^61+221x^62+268x^63+198x^64+182x^65+148x^66+96x^67+84x^68+48x^69+52x^70+28x^71+32x^72+10x^74+2x^75+10x^76+1x^78+2x^80+1x^82
The gray image is a linear code over GF(2) with n=118, k=12 and d=48.
This code was found by Heurico 1.16 in 2.31 seconds.