How do I export email account settings from Outlook 2010?
If you are familiar with the Registry Editor, navigate to and export;
HKEY_CURRENT_USER\Software\Microsoft\Windows NT\CurrentVersion\Windows Messaging Subsystem\Profiles\Outlook.
After you move your PST file over, import this registry entry to the new PC. It will have all of your account settings. You may have the enter the password for each of those 16 accounts.