Turing Machine Encoding and Complement of the Diagonal Language
The following hint repeats my comments and assumes that the question asks for the first encoding of a Turing machine which is in $\overline{L_d}$.

Hint: Make a list of the first few encodings of Turing machines, in lexicographic order. For each one, check whether it's in $\overline{L_d}$. The first one which is in $\overline{L_d}$ is the answer.

By the way, how does your encoding handle termination? Does it mark accepting/rejecting states in some way, or does it use another convention?