The exception 14 is a page file fault meaning its tried to load a page file into memory but its failed.
I have seen this when storage drops off.
And looking at you logs there is an heap of storage errors just before it PSOD like below which would account for failed pages
2013-12-19T20:28:43.051Z cpu5:34045)ScsiDeviceIO: 2337: Cmd(0x412e80824e00) 0x85, CmdSN 0x9f from world 34427 to dev "naa.600605b005d40d601a29058659cdb9ce" failed H:0x0 D:0x2 P:0x0 Valid sense data: 0x5 0x20 0x0.
2013-12-19T20:28:43.051Z cpu5:34045)ScsiDeviceIO: 2337: Cmd(0x412e80824e00) 0x4d, CmdSN 0xa0 from world 34427 to dev "naa.600605b005d40d601a29058659cdb9ce" failed H:0x0 D:0x2 P:0x0 Valid sense data: 0x5 0x20 0x0.
2013-12-19T20:28:43.051Z cpu5:34045)ScsiDeviceIO: 2337: Cmd(0x412e80824e00) 0x1a, CmdSN 0xa1 from world 34427 to dev "naa.600605b005d40d601a29058659cdb9ce" failed H:0x0 D:0x2 P:0x0 Valid sense data: 0x5 0x24 0x0.
2013-12-19T20:58:43.055Z cpu5:32794)NMP: nmp_ThrottleLogForDevice:2321: Cmd 0x85 (0x412e80849840, 34427) to dev "naa.600605b005d40d601a29058659cdb9ce" on path "vmhba1:C2:T0:L0" Failed: H:0x0 D:0x2 P:0x0 Valid sense data: 0x5 0x20 0x0.
Does the server have a power saving option?
I have noticed that a low c state can cause the storage to drop, I recently came across identical issues with HP blades that had HP dynamic power mode settings set, When changing this removed the PSODs that you are seeing here. So give that a go im not familiar with supermicro but im sure it would have power saving features which do not mix well with ESXi