A good source for a random cookie is:
>>> import uuid
>>> str(uuid.uuid4())
'69b5b473-07aa-4439-b928-362609a27496'
Do this once and put the string in a file somewhere secure. For example, if your Git repository is widely visible, you may want to keep the cookie secret out of there.
Secret cookies are useful for login cookies, for example, so consider the requirements for a login cookie. If you deployed multiple Tornado instances behind Nginx, they should all have the same cookie secret so that a login cookie generated on one of them is valid on all the others. Similarly, your application should load the same cookie secret every time it starts, so that a logged-in user is still logged in after a restart.