A Kentucky nonprofit that emerged as one of the largest insurance providers on the state’s health exchange has given notice that it won’t offer plans for 2016, a decision affecting tens of thousands of customers ahead of the next enrollment period starting in a few weeks. The decision by Kentucky Health Cooperative, which operates in all 120 Kentucky counties, set off another round of political bickering over the federal health care overhaul and its impact on the state as Kentuckians prepare to elect a new governor on Nov. 3. State health officials said Friday that current policyholders with Kentucky Health Cooperative will continue being covered through their existing policies, most of which expire Dec. 31, 2015.