Group Emojis on tabs, allow Favorites
Can you group the emoji's by their type? For example, show all the smileys on one tab, all the other animals/random stuff on another tab, and allow you to choose your favorite ones (what you will mostly use) so that they are on their own tab. Especially in a work environment, you wouldn't want to be accidently sending kisses or blushing to your team mates.
1. Most recent
4. Other, animals and other random stuff