I was wondering if there is a demand for newly mined bitcoins or bitcoins that have a small transaction history.  The question is, are there many people willing to buy such cue bitcoins for a price higher than the market price?

 I started googling but never found such offers. More than once I found that miners sell their crypto on OTC exchanges. Is there someone who sold on OTC exchanges?
 Tell me where the miners communicate to sell their crypto?