Here are some names: 'Gym Confidential', 'Secret Gym Stories', 'Private Gym Narratives'.
Consider 'Gym Solitude Stories', 'My Hidden Gym Life', 'Exclusive Gym Moments'. The first one implies that the stories are about the gym and are solitary, like a private experience. The second one makes it clear that it's about your personal, hidden gym life. And the third one shows that these are special, private moments at the gym.
Some possible names could be 'Gym Diaries', 'Fitness Chronicles', or 'My Gym Journey'.
FitFolks' Secret. This name gives the idea that it's about the private fitness journey of the people in the gym. It has a sense of community within the privacy.
Sweat and Success Tales. It implies that the content of the private story will be about the hard work in the gym and the achievements that come from it, which is very relevant for a gym - related private story.
Well, there are quite a few options. For example, 'Fitness Secrecy'. This name suggests that the story is about something private related to fitness, which is perfect for a gym private story. 'Gym Confidential' is also a great choice. It has a mysterious and private connotation, making it suitable for a private story about the gym. And 'Personal Gym Chronicles' is a name that makes it seem like a collection of personal stories from the gym.
Good names could include 'Gym Hideaways'. It gives the impression of a private place or experience in the gym. 'Personal Gym Escapades' is another great one. It implies that these are personal adventures in the gym that are private. 'Gym Confidences' is also suitable as it gives the sense of sharing private things or feelings related to the gym on the Instagram story.
Gym Glimpses - Private. 'Gym Glimpses' gives the sense of getting a peek into the gym world, and adding 'private' makes it clear that it's not for public viewing but for a specific group related to the gym.
Some funny names could be 'Sweat and Giggles', 'Muscle Mayhem Chronicles', 'Gym Jokes in Motion'.
Some good names could be 'Gym Diaries: Private Edition', 'My Secret Gym Tales', 'Exclusive Gym Journeys'.
Fitness Diaries. It gives a sense of personal records about one's fitness journey at the gym.