Hello again, another question from me!

Alright I am working on an assignment. And I haven't been able to figure out what the regex syntax would be to search for words, within a string, with atleast 2 e's. This is what I have right now.

Code:
/\w+e.?+e.?+/
but this only finds words like 'here'. I need it to return the word no matter where the e's are in the word, as long as there are atleast 2 in the word.

Thanks in advance for any help.