Can I carry my fountain pens in carry on bag for my British Airways flight.

I'm travelling from London Heathrow to India by flight. I plan to take 20 of my vintage pens with me in my carry on bag. These pens are precious and I don't want to risk damage by putting them in checked in luggage. All pens are going to be empty and kept in two pen cases (one has 14 pens and one has 6)

Does anybody have experience in carrying fountain pens in their checked in? Is there anything in particular I should be wary about.