Realistically simply letting anyone else know would attract about a billion people to your ass, so I'll take the liberty of making my own laws with the thing. Also as far as I know the gun can have only two portals active simultaneously. Just to see if it works I'd first get Breivik out of prison - I reckon the old laws treated him unfairly anyway. It's a Norwegian prison, can't be too hard to aim the thing at the cell wall. I'd disguise the portal gun as an orthopedic cast. So 1. to the prison and 2. to the nearest incinerator.
I'd pick the biggest art treasure I could take and take it (too bad there's armoured glass covers in a lot of places). So 3. to my place and the 4. to wherever needed.
I actually can't even think of a decent place to rob for actual monetary gain. It's not like anyone's going to leave me alone with a bajillion lying around. I'd try anyway. 5. into a "jewel emporioum" or something.
I can't even think of a good place for the sixth one. Maybe I want to read some mail. 6. to the bottom of a mailbox.
I've always wanted to solve a refugee crisis. So 7. to the biggest refugee camp in the Middle East and 8. to Reykjavik.
I don't like how the Statue of Liberty looks on Ellis Island. So 9. to the inside of an active volcano and 10. onto the statue.
Finally I'd shoot two portals in a vertical line, undo my belt, lean in and change pants without having to look down. So that's 11. and 12. and never remove these two.
AccursedTheory said:
Get out my debit card and visa. Travel to the two most used airports from different continents, and link them together with a portal. Charge a couple hundred bucks per person to travel through my portal, rather then suffer a 12 hour flight. Become a billionaire and don't touch the other 10 portals.
That would become quite a stand-off. Others contemplate on not paying while you threaten to close the portal at any time.