Do they allow condoms through airport security?
Good question, I suspect the duct tape was an error on the part of security a colleague of mine had some markers in his bag bound up with an elastic band and he said security nearly hit the roof when they X-rayed his carry on. The young lady at security asked him to open it up so she could see what it was, also he didn’t fit the profile of a terrorist so he wasn’t searched further. If you are worried about the condoms in your carry on put them in the checked luggage they should be fine and pass through security without any problems.