I don't see it.
2017
Sixers
2018
Celtics
Nets (unprotected)
Lakers (1, 6-30 protected)
2019
Celtics
Grizzlies (1-8 protected)
Clippers (1-14 protected)
If LAL 18 isn't conveyed, Kings (unprotected)
2020
Celtics
If MEM 2019 isn't conveyed, Grizzlies (1-6 protected)
If LAC 2019 isn't conveyed, Clippers (1-14 protected)
2021
Celtics
If MEM 2019 isn't conveyed, Grizzlies (unprotected)
2022
Celtics
So the way I see it, at most we will have is 10 firsts.