If I could find a zero day exploit that would give me root, that might get me in, but network accesses are logged too, so even if I found a back door way into t

If I could find a zero day exploit that would give me root, that might get me in, but network accesses are logged too, so even if I found a back door way into the server, I'd still be discovered "Johnny, someone altered binaries on our server yesterday, there were no SSH logins, but your VPN session hit our application server port at the exact time the application daemon crashed. Explain?" Even though I have server admin rights, I can't touch the network so I can't open an unaudited path to the server. It's not that the server security will keep me from accessing the data, but it will keep me from accessing it without being discovered.