First off: are you on the trial? I would not advise doing this at level 60 because it will be far, far faster if you can run the required duties unsynced.
That being said: it depends entirely on your existing resources imo. If you have various currencies sitting around (poetics mainly, but also crafting/gathering scrips, beast tribe tokens, GC and hunt seals, etc. all can help lower the poetic cost significantly, as well as some obscure items you may or may not have a few of already) it's largely just doing a lot a list of unsynced stuff and dumping out those currencies. If you have to farm tons of poetics and such, it could be a lot longer. Especially since you can lower the poetics cost in some steps by doing daily/weekly quests as well.
Though it's worth considering that it's easier to make additional weapons than it is for the first one (which is true for relics in general), since you can't burn poetics on some of these items until you've gotten to the step the first time. Afterwards you can just do that whenever you don't have anything to spend poetics on. Similarly, you can casually keep doing those daily/weeklies (since they're just about running roulettes) to stockpile items in advance of the next one.
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