@davydov: A few thoughts here.
First, just so you know, NextGEN 2.0 (just like 1.9.13) doesn’t fully support multisite. You should be able to activate on a multisite install, but you won’t be able to use it sub-blogs. So you should know that in advance.
That said, you shouldn’t be getting an activation error. That error is similar we’ve seen to several generated by plugin conflicts, particularly BBPress and Magic Fields. Do you have either of those two plugins installed?
Given that we’ve seen it on two other plugins, it’s quite possible that this is being generated by a plugin conflict. The only way to know for sure is to try deactivating all your plugins momentarily to see if you can activate NG. If so, it’s a conflict. If you do go through that process and find a conflict, please let us know.
I also saw on another post that you were using different WordPress URL and Site URL under General options (ie, trying to install WP in yourdomain.com/wordpress but display it at yourdomain.com/). Are you doing that on this instance?