1600€ gaming and Workstation
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Solved by TheCaptain53,
http://de.pcpartpicker.com/p/dvhNHx
This will leave you €250 for a monitor. But that should serve you well, especially for video editing.
Note that those aren't the SPECIFIC parts I would pick, just a general idea as some of the products I found didn't even have a listed price.
You can always add more monitors later with ease, whereas changing components isn't nearly as easy.