The boys gathered on an Ipswich, Mass., beach to celebrate their high-school graduation, some with medals draped over their black gowns. Jutting from each mouth: cigars that may or may not have been real. The photos taken under cloudy skies June 7 mirrored those snapped all around the country lately. But in this coastal enclave dubbed America’s Best-Preserved Puritan Town, those snapshots have lit a burning debate. What’s beyond dispute: Six of the grads were on Ipswich High School’s lacrosse team, and administrators suspended all six from a playoff game two days later for violating state athletic association rules against…