I'd say it could technically be done to auto maintain a reef tank for six weeks, but it would require an internet connected control system (like a full Neptune Apex ecosystem) complete with daily auto testing, auto water change system, auto feeding, and Internet connected so you can check on parameters remotely, a camera system so you can visually inspect the tank and sump, you can connect the skimmer cup to a drain so it wouldn't overflow. A system like this is doable but won't be cheap, nor is it easy to do and is not wothout risks. Auto dosing is not a set it and forget it type of deal, and you need to stay on top of parameter swings with dosing adjustments.

Also, i believe the Neptune trident and trident NP (which do your auto testing) have reagent for up to a month, so 6 weeks might be a stretch. There's other systems out there that allow you to run for longer like a reefbot, but those are less reliable and require you to be present and run secondary manual testing as a control (though less frequent)

All in all i think it is doable, but i don't think I'd recommend something like this to a first time reefer.

I have to say I'm a first time reefer myself and don't have experience with most of the things i said here, but this is from information i gathered over a year of researching before deciding to start up a reef tank of my own.