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Unless another solution pops up, I made you a custom ringtone containing only 10 seconds of silence.
Dropping it onto your iPhone (with iTunes or Music/Finder - I guess) makes it appear in ringtones.
 

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Reactions: max2 and Bacong
What are you trying to achieve, exactly? Depending on that, you could use a combo of Silent + no vibration or Do Not Disturb profile?
 
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