I never heard of a router caring how many "virtual servers" it processes data from.
can it handle 14-16 connections at the same time that is a very good question , hard to tell, as the specification are very thing in informational, and almost non of the router makers will tell you how many concurrent connections on wifi it can handle.
I have found this statement from Net gear and I think is putting some light on the subect: REF:https://kb.netgear.com/24043/How-many-clients-can-you-connect-wirelessly-to-a-NETGEAR-router
NETGEAR home routers can accommodate up to 32 clients per wireless band. If your router is dual band, the total wireless clients your router can handle is 64 (32 for the 2.4GHz and 32 for the 5GHz).
However, since the router's wireless channel is shared between all the wireless clients, adding clients will inevitably result in slower network access for all clients. This will be particularly noticeable if some of the clients are using a lot of wireless bandwidth, for example by watching a video or doing a torrent download. Therefore, the maximum number of wireless clients that will operate satisfactorily while connected to the same router will vary depending on what the devices are used for. It will also vary depending on how much wireless congestion or interference are present in the location where the router is installed.
so 32 connections possible for a single 2.4 band router... I would say your TPlink being single band 2.4ghz at 14 connections it will struggle for servers.
A dual could handle your servers split as 7 on the 2.4 ghz band and 7 on the 5ghz band. tplink-c59
I suggest due to the nature of server data flowing constantly you invest in to a proper gaming router triband, yes more expensive but its your dataflow .