10 mins has really nothing to do with the stats of your miner, unless I am missing something.
I think he was wanting his bestshare stat reset after each block was found on the network, hence the every 10 minute thing came up.
Well, I can understand that, I modifyed cgminer to do so, I called it "Bestsharreset after a new block is found"
The api got now bestshare based on the actual block and the bestever (over the time cgminer is running).
But in the end, only 1 message is realy important: "solved and confirmed"