I use the SKB standard with Players 4 and there is not really any extra room. I would not think the Hybrid 14 would fit. That said, SKB makes a Deluxe case and a Staff case. The Deluxe case would likely fit. Find a big box store that carries SKB. They probably also will have some Hybrid 14 bags on the floor that you can then test before you select your bag/case purchase.