4x16min @ threshold is a killer workout if not a race effort. The recovery would take probably a week. I wouldn't recommend this session to anyone.
In general training threshold is sufficiently achieved with max. of 35min if broken up into segments or 25min if done steadily.
I'd advise starting out with something like 4x5mins w/ 1min jog in between. Keep the pace consistent.
Progression for that could look something like this:
5x5min w/ 1min
4x6min w/ 1min
4x7min w/ 1min
6x5min w/ 1min
4x8min w/ 1min
Complement this with steady runs, starting with 15min and progress from there.
Keep in mind, that the pace on these runs should be slightly slower than with the broken sets.
Just don't start them too hard and die towards the end. It is better to undercook in the beginning and speed up over the course of the run, maybe even hitting paces a pinch faster than threshold towards the end.
Good luck with the training and stay safe.