Thanx to all for the welcome and the replies!
Originally Posted by Hoot
It looks like long pepper and the flavor profile fits.
Spice Hunting: Long Pepper
I have another long peper having flavour that matches with one discribed.
Two fruits have some differences (the fruit being identified is the first):
color - only matt black vs. from dark red-brown to black,
shape - bent half-open cone vs straight (as a rule) beautiful cone
taste - small bitter without any heating vs heat (a little more than black pepper has),
aroma of whole fruit - camphoraceous vs missing in fact.