Sounds to me like something was happening on your end of the spectrum, like a very bad lag spike or connection dropout.
The log file indicates acceptable ping times. I've played with people pinging around 200ms without interupting the game, everyone was well under that. Also if it had been an issue of client lag the game should have self resolved this through the GameController.checkReadyTimeout function.
INFO [GameController.beginNextPhase] --------- COLONY_EVENT_B #10 --------------------------------------------------------
INFO [Server.logRoundtrip] Roundtrips: <P10 P12> 15ms <P11> 109ms <P13> 78ms
INFO [Client.logRoundtripTime] Client: Roundtrip time is 15 ms
INFO [ColonyEventPhase.begin] ColonyEvent: PIRATE_SHIP