Hi Jan!
Ohhhhh, boy; clicking noises are one of the most intriguing and difficult problems to solve on a bicycle 'cos the noise so frequently telegraphs along the frame, making it difficult to locate and address. You've sure done some good detective work to this point that seems to pinpoint the problem at the bottom bracket.
Here are my suggestions for most likely causes; others will no doubt weigh in with their own suggestions and -- hopefully -- something will um, "click" and solve the problem for you:
= Remove the pedals and grease the pedal threads; reinstall.
= Check the torque on *both* eccentric bolts; I suspect one (perhaps the left-hand one) is slightly loose(r).
= Remove the eccentric, re-grease it, reinstall, and retorque the bolts to spec.
= Loose chainring pegs/bolts.
Hoping this will help.
Best,
Dan.