Server lag

I've hosted several MC servers over the past few years for myself and two other people. Create A&B, Better MC; and currently ATM8. All of them had off and on issues with lag, but ATM8 has been pretty bad.
All of the servers were in an LXC container on a server with a Xeon E5-2687. Simulation and view distance is currently only 6 chunks; but the server still lags so badly at times to time people out and disconnect them.
I have installed sparks; but I can't see any one thing being the issue. https://spark.lucko.me/1AfNaHa8qY
spark is a performance profiler for Minecraft clients, servers, and proxies.
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