Hi,
You are probably running into limits because of fractional reserve and space reservation. Ideally, thin provisioning is going to save you lot of such headaches.
1. Create your volumes with guarantee=none
2. Turn off snapshot reserve. No need to reserve space, really. If you have enough space on the volumes, you can take snapshots. Easy.
3. Turn off snapshot schedule "0 0 0".
4. Create your LUN's with reservation=none
5. Setup vol autosize to increase your volume size or, alternatively/in combination with snap autodelete.
Then I think you can create 16TB LUN's... Just always make sure you monitor the capacity of your aggregates. Keep them under 90%. This way you basically have one "fire" to put out instead of having to balance a bunch of different settings. There's a TR on Best Practices for Thin Provisioning as well. A good idea to read it.
Good luck.