Looking for clinker in red, brown, orange - should not be too dark

Clinker brickwork is only done with stretchers, haha.

Unfortunately not true.

To break up the facade, patterns are often used as well.
See for example the picture in #1.

And now that you mention it... We also had a batch with a very strongly colored front side, but the header was standard. Sounds like an acceptable solution.

But you might have to explain to the mason 3-4 times with bread rolls what you mean...

And either get used to occasional outliers or ask the mason to swap the bricks (definitely before pointing).

When it comes to the Dutch, you will find what you are looking for...... or look up all the brick manufacturers and call them directly?

If you are sensitive to color differences, there is no alternative to on-site selection. When doing it yourself, it's quite simple - unwanted colors go on a "non-processing pile." If you have someone do the clinker work - find someone who does it with love and gladly fulfills your wish. By the way, it's generally good to hire people who love what they do.

It is best to have as few people as possible, here speed is not good because the mixing ratio must also be correct. The more eyes at once, the more dangerous it is because the overall picture can be more easily distorted.

My processor checked the image after every second stone; he was also alone, he had only one helper, but this person was just an assistant.

I then showed the result to the technical manager of a brick manufacturer, he confirmed it and said, super processed and mixed.

That's unfortunately not true.

It probably is. Show me a 24-piece cladding!
Of course, one can saw stones, but a cladding shell – when it is pre-built – is always a pure stretcher shell, without headers.

To break up the façade, patterns are often used.
See for example the picture in #1.

Precisely the picture in post #1 shows exactly such halved stones, which indeed are also darker on the head sides.

I think you will find what you’re looking for with the Hölländer stones… or look up all brick manufacturers and call them directly?

Caution! – there are many (also German) bricks whose formats do not fit an octameter rhythm. This also creates adjustment needs in height when the courses do not correspond to those of NF or DF standard bricks, and practically forces the choice of a wild bond. Furthermore, I strongly warn against cladding as patterning by general contractors who do not employ experienced specialists for this, but rather what Karsten so nicely called "estrich-Achmeds." Then what starts as a refinement very quickly turns into a botch, often even top-tier.

My installer checked the pattern after every second brick,

Honestly, I believe the OP is making a huge mistake by wanting to sort out the – after all usually desired – darker bricks. Viewed in HD photos and when you only see a small section of the wall like here in the post image (which is also typically the case with the usually maximum two square meters of samples at the building supplier), the darker bricks stand out "disturbingly" in the overall picture. But viewed from say eight meters distance from the start of the driveway, the picture reverses: there the "cleaned-up" cladding will look unnatural and on average too bright. It’s no coincidence that a more realistic hair dye campaign started by emphasizing not being a "color helmet."

titled screed-Ahmeds

for me it was not an "Ahmed" but a "Granit" (Balkans) ...and he did his work very well.