Last department I worked for had the most awesome 10-hour setup EVER. Rotating days off which a lot of people don't like the idea of doing (if they've never done it before) but it benefited everyone. The 10-hour arrangement was set up into 8-day "weeks" that repeated every 56 days. Schedule went like this:
(1) 5 days on, 3 days off (for four 8-day weeks)
(2) 4 days on, 4 days off (for three 8-day weeks)
So you are always guaranteed 3 regular days off, and quite often get 4 regular days off. You want 5 days off, just combine it with a 4-day weekend and you only have to burn 10 hours of vacation. Every officer in the entire department gets at least 1 full weekend off every month, sometimes more. Three overlapping patrol shifts (8a-5p, 4p-2a, 10p-8a) that cover the peak hours perfectly. If you have to hold over or come in early to cover a patrol shortage, it's only for HALF (5 hours) of the other shift - so you will never work more than 15 hours, unless it's a voluntary overtime detail.
Best setup I've ever experienced, wish I still had it.