something similar has happened to me before.
there were duplicate RSMLT addresses within the network and performing a "save con" would make the CPU spike to 100%. I would also get locked out of the web-interface.
I would check the logs to see if something is going wrong within the network or switch.
SHOW>SYS> LOG FILE TAIL
Look for spanning tree changes, duplicate IPs addres or VRRP failovers, or failed SNMP requests