I moved to a new city in west India last year and I've since, on several occasions, seen this insect on walls and it's usually climbing using its head. It has a greyish long shell and moves in a very wobbly way. I've asked people in the locality if they know what that insect is, but no one has a clue. And my curiosity is piqued everytime I see it and I really want to know what it is.
Here are two closeup images: https://ibb.co/HNDLCMm https://ibb.co/6JCMH7j
I have a video as well but I don't know how to share it here.
I was suggested that this question is a possible duplicate of: What insect is this? (India)
The insect in my case is probably much smaller and has a plain grey shell (as opposed to building a shell from material lying around, which would most probably be different every time). I don't explicitly see any legs although there may be.
I want a definitive answer as to what moth it is or if it is one or not.