To safely do that, you need a few things:
The run must be predator-proof. Even if you have an automatic door, one may not go in in time, and you will not be there to check. If you don't have an auto door, the coop pop door will have to be left open, which also requires a predator-proof run.
Redundant everything is necessary, especially 2 waterers and 2 feeders. Imagine if one gets knocked over the day you leave.
Be prepared for very dirty or even broken eggs. The number of hens will make this or break this.
I find I can leave mine for 4 days, tops, and I only have 3.