Breakdown of Decem testes idem dicunt: servum innocentem esse et nihil cepisse.
Questions & Answers about Decem testes idem dicunt: servum innocentem esse et nihil cepisse.
Here idem means the same thing. It is the object of dicunt.
A learner might expect something like iidem, but that would mean the same people/men as a nominative plural. Here the sense is not the same witnesses say..., but the witnesses say the same thing. So idem is neuter singular: the same thing.
The colon introduces the content of what the witnesses are saying. In other words, everything after the colon is the statement being reported.
It is also worth knowing that punctuation in printed Latin is editorial. Ancient Latin was not originally written with modern punctuation, so the colon is there to help the reader see the structure.