Internet Access isnt that common on control panels due to the potential secuity issues.
I know that texecom do have this as a custom option on the premier ip module, and the scantronic ion40 has some web features. It is something thats becoming more popular.
Equipment wise for 16 hard wired zones id recommend either a galaxy dimension or a texecom premier.
If you just want remote control via usb,modem, serial etc the prem might be a better option then you could remote desktop into a local pc running the wintex software.