Nice job but the dodecagon section is short so its inherently unstable lengthwise and will try to tilt forwards once the collet nut and workpiece are fitted. You need to figure out some way of restraining it to prevent such things happening.
Tailstock centre on a carrier of the right height perhaps.
Even the standard style of 5C collet blocks tend to be tippy despite being much longer and having the nut at the back so weight distribution is rather better. I regard a quick thump with a deadblow hammer to make sure they are seated flat in the vice an essential part of using those. I found out the hard way that simply pushing a 5C block hard into the vice wasn't quite good enough despite looking decently level. A hex with two sides tapered at degree or three looks seriously "wrong".
Clive