What could be wrong with my 2007 Honda Civic?

When I start it in the morning, and the car is in Park, there are strong vibrations coming from the engine. When I place it in reverse, it becomes stronger. Once I place it in neutral or Drive it disappears. After the car has heated up, there are no longer any vibrations. It completely disappears.

I had the car last checked 2,000kms ago and I tried a new gasoline with 100octane rating. I live in a tropical country but it has been quite cooler during the morning. Also I last started the car about 8 days ago.

Is there something wrong or is the engine just heating up?
 
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