Every 3 months we rent a house and chill with each other in the weekend, give each other workshops, talk about life, drink amazing wines and cook our best dishes.
Doing this is different than being friends individually with them, which I also am. To me, it feels I am much more supported.
I share your sentiment with what type of people you want to meet. In my case, I've been lucky to have studied a business program (that I dropped out of) and meet my friends there, that still are my friends to this day. From there the friendship group grew. It means that I am the geekiest of the 5, and they tolerate that since I focus on being curious, adventurous, playful, creative, a little crazy and fanciful with them. I position myself a bit as a curious bon vivant that happens to have a geeky side. It's not that I don't have those traits, but I do emphasize them more than I otherwise would. And honestly, I like it. Pulling out the adventurous side in me is exactly what gives life a little fun, you know? I mean, from a rational point of view I find it utter nonsense because all I care about is truth and advancing it. Science is wonderful, it is an amazing tool to know that something is true, false or has some probability value to be true or false. But from an emotional point of view, adventure baby!
So if you have friends that are relatively tight with each other and you are as well. Make a conscious effort to become a group. Get an AirBnB, get an activity list and do a weekend getaway together.
What also helps me is my girlfriend. Her view on the world brightens my life, even when I feel utter shit because my career is going nowhere (as a programmer), or even when I feel lonely. She takes a lot of the loneliness away to be honest.
With that said, I feel a similar sentiment to some extent to what you say. In that sense, I am not the perfect rolemodel, not by a long shot. But the two things I wrote above (consciously formed friendship groups + consciously formed friendship culture, my girlfriend), they help me feel that life is worthwhile.