That is going to be too many tangs for a tank your size, I'm afraid. I had six in my 280g for a long time, and it did a real number on my water parameters. Then again, if you throw enough stuff at the tank (Denitrifier, dosing vodka, etc), you can get away with it, but then there are space constraints that should not be overlooked.
I do understand the passion for many fish, and have seen that often from those that used to keep freshwater tanks. Adding a bunch of anthias, chromis, basslets, etc - you can get that feeling without creating issues.