Hello Hans-Georg,
If the issue is caused by not enough details, or specular reflection highlights on the object on on the table, have you considered using a circular polarized lens filter to reduce the specular reflection and bring out more contrast/details?
Or if the table is reflective, simply use a matte object for the table. Reflective surfaces produce artifacts and errors for photogrammetry software.
Otherwise, the ideas Jim gave above seem very helpful. Often making sure the camera and lens settings do not change will allow you to lock down the lens distortion values (AKA lens calibration). Most importantly is the focus distance on the lens, and focal length (if using zoom lens - which I don't recommend, but you're using a macro lens anyway).
If your photo attached in your previous email is an example of the photos you're giving Meshroom, I'd suggest trying to fill the frame with the object more. I can see how such a small object will make that difficult, but if you can you'll likely get better details since there's more resolution used for the main object. The photo above has 90% of the image as the table top, so of your 4K photos, only a tiny amount is used for your subject.
Most often, shooting good photos are the most important part of getting good results from photogrammetry software. People tend to overlook that fact. All the fancy software features are great, and it's interesting to try and experiment, but the people I know tend to ensure they have good photos first and then use "default settings" in the photogrammetry software. Good photos means less time debugging and re-running the software later on.
Good luck! Let us know how it goes!