the papillae are normal they may enlarge if you brush over your tongue to clean it vigorously ,infection in throat and may be because of laryngopharyngeal reflux
as you have no pain and fever so infection can be ruled out.
The papillae can not spread .
You can take treatment for reflux-----
Tab. Mucinac 600 once daily
+Domperidom two times a day half an hour before meals
gel 2 tsf two times a day half an hour before meals
Keep head end of bed elevated.
Avoid alcohol, Smoking
Do brisk walking daily
Go for walk after dinner
Avoid spicy food
Avoid late night coffee
gargle 2 tsf in half glass of water for gargle 3 times a day
follow up after 7 days.