You are a Monstrosity.

You are able to walk on walls and even upside down as if you were walking normally. If you take damage while climbing you must make a dc 12 dexterity saving throw or be knocked prone. You also take half fall damage.

You have claws that you can use to make unarmed strikes. When you hit with them, the strike deals 1d6 + your Dexterity modifier slashing damage, instead of the bludgeoning damage normal for an unarmed strike.

Your arachnid biology gives you a natural affinity for weaving.

You can cast the Web spell once per long rest.

You can use your legs as Weaver's tools. In addition you can produce 6 feet of webbing or 3 feet of sticky webbing a number of times equal to your proficiency bonus per long rest.

You ignore movement restrictions caused by webbing.
While in contact with a web, you know the exact location and size of any other creature in contact with the same web.

People view you as a freak of nature and fear you. You have proficiency in intimidation.