The upper one is the better solution, but I want to move my defined green points an not all points on the curve. is there any way?
Plug your points and curve into the curve closest point component. You can then use the required planes at those parameters of the curve to get your offset for those specific points
Difficult to understand 
for me as a newbie, maybe you can show me?
If you post your script, I can show you 
You donât have to post your entire script if you donât want to. You can just internalize the data and post only the relevant part
How you choose the green points? use their index with the solution
Wald.3dm (2.7 MB) Wald.gh (16.4 KB)
this are the datas and thatâs what I want to create:
A path with a curve which stands out at points with distance over 4 meters.
hi @lauratraum12,
Excuse the impertinence!
Both @anon39580149 and/or @technostark would have solved this unquestionably if you had provided this image from the start!
Direction must be âdecidedâ in your case.
Looks like you were about to be shown a similar approach with point projection via @technostark
I trust youâll infer that the distances âabove 4 normal to the curveâ werenât necessarily the ones you were thinking when/if you decide the ânormalâ direction, projecting from interior to exterior:
I leave you some options here:
Wald2.gh (22.9 KB)
Like this?
Wald.gh (23.0 KB)
But after seeing @anon78208900 's answer, I think you were looking for offset from centre and not perpendicular to curve as Iâve shown above. In which case, you can use the toggle created:
For future reference, it is easier for people to solve your problem if you post a geometry file in the first post itself. Secondly, you can internalize the geometry data in grasshopper (just right click the component where you reference the geometry and click internalize data), that way you donât need a heavy 3dm file. Also less hassle than downloading 2 files 
why donât show how it âdidnât workâ to @technostark ? With an image?
MeanwhileâŚ
several methods I imagine!
Not much time for guessing, consider that whoever is trying to help you has no knowledge of the changes in your design thoughts
For example,
this sketch:
is different from this:
Just pay close attention to the green curves you have drawn - both look smooth, yet their shapes vary *plus the input curves were also different onesâŚ
check this file, the âfancyâ section with point charges I had left you served as additional workflow for now:
NOTE:
the smooth transitions you desire, depend more on their parent curve if you think about it - so a workaround will end up being necessary here and there to make adjustments, especially when we donât know which curves youâre actually or eventually using.
Thus, youâll have to deal with subtle-to-pronounced discrepancies between parent curve and new smooth curve, based on point resolution and smoothing strength/steps:
Best,
Wald2.gh (45.3 KB)