Hi HA UK,
My first step was to Goggle the problem, but my impression is, there is not a vast amount of problems. This is often my first step, checking how often this is found, to get an idea about.
Then I checked the manual:
https://support.solidangle.com/display/AFCUG/Displacement
Since Cinema 4D seems here more the hub in the workflow than it might be difficult for me to answer, based on two result images, not even knowing a single bit of the underlaying set up.
First of all, I encourage 16bit/channel textures for this work, anything 8bit/channel seems rather useless for high quality work. The Arnold manual highly suggest, as I do, to use floating point formats for this work, they expect trouble by not doing so. My favorite format is OpenEXR, which is also an industry standard. To save space on a disk by using anything else is not advised!
The image need a nice density/resolution.
The file needs to be know how the information is stored, in gray values [intensity/centered, red green, or RGB in different ways]
Is the artifact with all material channel settings available, or does it change, is the artifact even available with a blurred texture.
My best guess [sorry about, guessing is not my favorite thing] would be to turn the subdivision iteration down, this will hope full show some results.
Typically, problem solving is one parameter at the time, other wise you get no solid feedback. An inspection of the texture map and a comparison with one that worked might help as well.
I’m not aware of a forum, as I can’t buy all the 3rd party render available for Cinema 4D and it is nearly impossible to keep up with their often nice progress.
I would ask the support from Arnold about the best user forum, they normally know great resources of course.
My best wishes.