Yes, HAAst was certified Asterisk 14 compatible in November 2016. Not a lot of companies are running Asterisk 14 yet (in production) as of Jan 2017, so you will be on the leading edge. But I assume you need some Asterisk 14 features.
You didn’t mention your customer name/number but based on the username (and 4500 phone sets) I think I found you in our CRM system. It looks like your maintenance agreement expired last year so you will need to contact admin@telium.io to upgrade your license (otherwise upgrading HAAst will cause it to run as the ‘free edition’).