Do the F5 have an template configuration for creating VIP for BMC Remedy Mid Tier 8.1 application

No template I have come across, they also make no recommendations as per:

https://communities.bmc.com/thread/47512?start=0&tstart=0

There is a document on using a hardware load balancer with 7.6 as detailed in the following:

https://communities.bmc.com/thread/76588?start=0&tstart=0

I've found a copy on ScribD if you have an account:

http://www.scribd.com/doc/72682341/7-6-Load-Balance

But not found anything specific to 8.1

One thing that you need to ensure with 8.1 (and didn't with 7.6 and earlier) is that you do need to do is either disable compression or enable "Keep Accept Encoding" as per:

https://communities.bmc.com/thread/84567?start=0&tstart=0