Maybe it is more than an instance. Maybe it is an idea, a world-historical vanguard, light itself. 
actual attempt to answer (cringe)
We’ve been around for three years on a lemmy fork before federation. The lack of federation for years as well as the place we splintered off from (/r/chapotraphouse) already having a unique microculture within Reddit has given this instance, in my opinion, a distinct culture compared to general-purpose and even other hobbyist instances.
Regarding specifics, Hexbear is a vehemently queer-friendly/intersectional anti-sectarian socialist instance. Check us out 
Oh no
I'm afraid you're going to have to lead the riots in Toledo, the official city of Hexbear. It's a shame you weigh 6 oz and aren't a 350lb horror from the ancient world like Gritty is. Gritty has never been at risk of being accidentally stepped on.
we are fucked
pokedex lookin ahh size comparison
Dirt_owl is a fucking hoothoot confirmed
Get em in ankles Dirt_Owl!
we love our short kings
if Dirt_Owl is our leader does that make us an owl movement 💩
Pellet gang
I thought the official city of hexbear was Liberal Mountain, Montana?
it was so desirable that it got fought over in a mini-civil war, it’s close enough to Cedar Point for a long weekend, and
lives there
I grew up there so I'm very on board