I know that Germanic tribes had the same or at least similar gods, but my understanding (which could be incorrect) is that those gods (Thor, etc.) came from specifically the Norse first and then were adapted by other Germanic tribes, perhaps as a result of Norse tribes colonizing portions in Germany.
The Norse didn't even exist as a distinct tribal group when the first appearance of these gods is recorded, so no, they weren't "adapted" by other Germanic tribes from the Norse. They already existed before the tribes began migrating and evolving into distinct societies. If anything, the West Germanic group appears to have been the earliest to appear as distinct from the earlier Proto-Germanic collective group, with the dialectical foundations in place as early as the 1st Century BCE. The North Germanic group (to which the Norse belong) didn't begin to identifiably split off until around the 3rd Century CE.
Part of the problem is that more is known about the Norse version of the mythology because it survived as an active tradition long enough to actually get written down (Poetic and Prose Edda), while most of the other Germanic tribes were converted to Christianity before the middle of the Migration Period, leaving mostly grave goods and other archaeological finds, but no written sources. That's the real reason why the Norse are so heavily emphasized over the other Germanic tribes.
