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Thank you. I was hoping to find some specialized solutions because it's always tedious to figure out which value is which.

According to https://en.wikipedia.org/wiki/Unified_Thread_Standard this should be (added some open questions):
d=15.8750,
l=14, // my personal requirement
pitch=1.4111,
thread_angle=15, // What's this? I only found 60° for the profile's shape and θ = 30°.
thread_depth=undef, // How is that measured? Is this H or 5H/8? (see wiki picture)
profile=undef, // "... if not a symmetric trapezoidal form", which symmetry? The wiki picture is horizontally symmetric but not vertically

Additionally the external thread is not flat but rounded in its concavities which cannot be represented by trapezoidal_threaded_rod(). I'll have to see if this has any relevance in practice.