yes you need all 16 badges to get into cerulean cave.
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there is no cerulean cave in ruby
Cerulean city
You can access Cerulean Cave in SoulSilver after you get all 16 gym badges (Johto and Kanto).
You can find mewtwo in the back of cerulean cave.
To get into Cerulean Cave you have to get all 16 badges in Kanto & Johto, beat Red in mt Silver, then talk to Prof. Oak