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There are so many beautiful places that 14 days are not enough!
It depends on you- what kinda place you wanna visit.
Historic Monuments and stuff, greenery and hillstations or himalayas?
We have everything. :P

I was hoping to do like a 14 day trip, to see one part. I think a city for half a trip, combined with himalayas for half a trip would be awesome. I would love to rent a bike, and just head through the mountains. I guess I need to put some more thought in to exactly what I want to see... I did fancy Goa, but I'm not sure if it's worth it.

You can see Delhi and Agra for historic monuments and hertiage sites, and then head off to Leh-Ladakh on bikes. You can rent the bikes in Delhi. It gives you experience of a life time. You can finish off the circuit in 12-14 days.
Goa has become one of the mainstream places. It still fun though.