Thank you for your replies. I have had the chance to hear a couple of different interconnects in my system now. Here are some reflections:
Gryphon VIP reference: very smooth and nice but a bit on the dark side.
Shunyata Sigma V2: much brighter and airy than the Gryphon VIP, a bit sharp here and there though.
In-Akustik Reference LS-2404 Air Pure Silver: similar to the Shunayta, maybe a bit smother. Less defined in the lower frequencies.
All of these I had given some weeks of listening, avoiding A/B/C tests of cables. Somehow none of these interconnects sounded like the perfect solution. Although the Gryphon was a bit dark in comparison, we listened to more music when the Gryphon cable was installed. We always remarked how much brighter it got with the Shunyata and the In-Akustik as if this was a improvement. But both of them we switched off earlier most evenings.
Then we got another cable, a Tara Labs The Muse. I have a little playlist of some songs where I have special moments that I find noticeable (special drum sound, voice etc etc). When I started my playlist with the Tara Labs cable there was a "wow" moment after 10 seconds. Bright and airy, transparent, with a lot of bass pressure. Not sharp or edgy at all, very smooth but powerful and controlled. Definitely the best sounding cable in my configuration that I have heard.
Now I am listening to it for a week before having to make a decision. But after 2 days I am already very sure it will be the Tara Labs cable.