Firstly check that the oomkill isn't being triggered by another process in the system, or that the server isn't overloaded with other processes. It could be that Tomcat is being unfairly targeted by oomkill when some other greedy process is the culprit.
Heap should be set as a maximum size (-Xmx) to be smaller than the physical RAM on the server. If it is more than this, then paging will cause desperately poor performance when garbage collecting.
If it's caused by the metaspace growing in an unbounded fashion, then you need to find out why that is happening. Simply setting the maximum size of metaspace will cause an outofmemory error once you reach the limit you've set. And raising the limit will be pointless, because eventually you'll hit any higher limit you set.
Run your application and before it crashes (not easy of course but you'll need to judge it), kill -3 the tomcat process. Then analyse the heap and try to find out why metaspace is growing big. It's usually caused by dynamically loading classes. Is this something your application is doing? More likely, it's some framework doing this. (Nb oom killer will kill -9 the tomcat process, and you won't be able to diagnostics after that, so you need to let the app run and intervene before this happens).
Check out also this question - there's an intriguing answer which claims an obscure fix to an XML binding setting cleared the problem (highly questionable but may be worth a try) java8 "java.lang.OutOfMemoryError: Metaspace"