A 'syndicate' eh? That does not sound particularly great, although I believe it is simply a matter of poor wording. I will need to know more about your group before approving any request. You work closely with Gateway, are you a subsidiary, or possibly a business partner as with the IMG or ALG?
If you wish for a headquarters, surely you could do so with the office you have on Kensington, or possibly rent an office building in New London? Many businesses base themselves in our trade hub.
Any specific plans that you have for the base - such as location and planned modules - may be forwarded to myself through a more private channel if you wish.