Can I travel through Europe with a Student Visa?

Hi, I'm a Colombian citizen currently studying abroad in Spain for a semester. My home university is in the states. I currently hold a student visa that says:

For: Spain +1 Trans.05 Schengen
Type: D

I would travel through several Schengen countries for a month, the visa would expire after I leave for the UK (I already have a visa for UK).

Would I need to get another visa for this? A tourist visa? And if I do, can I get it in Madrid? Where?

Thanks for your help,
Sebastian

Your visa allows you to stay in Spain for 6 months and to transit through one or several Schengen states to reach Spain.

As your nationality is submitted to visa obligation, you need a visa to travel in other Schengen countries.

You can apply for your visa in Madrid.