8000? Wow!
From the Q&A topic in the Cheats forum:
Q) There seems to be something wrong with my weight/encumbrance. What can I do about it?
This appears to be some sort of bug. There has been given an explanation and solution by a certain user whose name is now lost. But here's his post [his Real name appears to be Josh]:
If your weight is too high, the fix is easy. Drop everything out of inventory, pull down the console and type the following commands. I'll assume your weight is 126 heavy for this example:
player->additem "misc_soulgem_common" 1
player->removeitem ""misc_soulgem_common" 127
You'll want to use 8001 and I hope you're not on XBox.