Unlike Title and Description Tag, there is no pre-specified word limit for keyword tag. However, all major search engines including Google now ignore meta keyword tag completely. To test this, you may remove all of the keywords in your meta keyword tag and after a week or so your ranking will not be affected at all.
Similarly, adding hundreds or thousands of keywords would not make any difference, but will end up increasing the load-time of your pages. Page load factor however is indeed one of Google's ranking algorithm factor. So, keyword stuffing in meta can indirectly end up hurting your SERP than improving it.