Symmetry based approaches are known to attack the state space explosion problem encountered during the analysis of distributed systems. In another way, BDD-like encodings enable the management of huge data sets. In this paper, we show how to benefit from both approaches automatically. Hence, a quotient set is built from a coloured Petri net description modeling the system. The reachability set is managed under some explicit symbolic operations. Also, data representations are managed symbolically based on a recently introduced data structure, called Data Decisions Diagrams, that allow flexible definition of application specific operators. Performances yielded by our prototype are reported in the paper.