Hi,
With IEEE 802.1d,recommended consideration when designing the network with STP is not more than 7 hops. On the default timer parameters STP is expected to work fine till 7 hops. Beyond 7 hops the STP will work but it might bit a little hard to predict the behaviour of the STP, which might result in a lots of network problems. From an individual switch perspective like from the root bridge the STP diameter should not be more than 7 hops away.
As per your topology above, I dont think so that you will exceed this diameter,it actually depends on the rootbridge placement.Whenever you are configuring the rootbrige on your network, you have to make sure that the none of switch should be 7 hops away in connectivity. If you are following Cisco's 3-tier hierarchical design you will never be exceeding the STP diameter, hence you should not be worrying about it much.
HTH,Please rate if it does.
-amit singh