As no-one has as yet responded, my thoughts are.
I take it you are planning different sized inserts for the 10mm and 14mm tubes. I doubt any “simple” design would cater for that range of sizes. It would need to have some sort of expansion mechanism designed in.
If you are printing different sizes, What material are you printing in. If it’s ordinary PLA, then by the time you get the three lugs strong enough to not snap off, they will be too inflexible to provide any realistic spring.
The inserts I have seen to push into tubing seem to use a series of thin flexible ribs round the circumference, which deform when you push the insert into the tube. Something like this.
However it would need to be printed in one of the flexible materials, and they are reputed ( I have never tried them) to be difficult to print.
I would personally make the insert without slits, and include a groove (or two) for a suitable O-ring. If the insert is a close fit in the tube, and the O-ring groove the right width and depth, the ring will deform when you push the insert in and grip the tube.