With the maturing of computer-aided verification technology, there is an emerging opportunity to develop design tools that can transform the way systems are designed. In this paper, we propose a new way to specify protocols using concolic snippets, that is, sample execution fragments that contain both concrete and symbolic values. While the purely symbolic extreme is simply an alternative representation of the traditional communicating extended finite-state-machines, and the purely concrete extreme is an instantiation of the "programming by examples" paradigm, our specification language allows the designer to specify the desired protocol using a mixture of symbolic state machines and concrete scenarios. Our synthesis engine generalizes the snippets into a transition function, which is then analyzed using a model checker with respect to high-level temporal-logic correctness requirements. We describe a prototype implementation for design of cache coherence protocols built using (1) a straightforward enumeration of all expressions for transition functions, (2) a check for consistency with respect to concolic snippets using the SMT solver CVC3, and (3) a check for correctness using the model checker Murø. We discuss our experience in designing classical cache coherence protocols using the proposed methodology.