I'm not sure when they were made but probably from 1971 onwards according to: http://a.trionfi.eu/WWPCM/decks03/d01557/d01557.htm
Do you have the original box?
There's a 50/50 shot these didn't have any box, originally - at least that's my guess. I don't know a lot about Playboy decks specifically, but I do know some of the more cheaply-manufactured decks are made without a tuck box at all, just a cellophane wrapper with a tear strip much like you see in this photo. Playboy was at one time working with USPC to do their deck printing, but it's possible that they went with a cheaper company and a cheaper quality level sometime thereafter and this was the result. Either that, or there's a chance these are a knockoff, probably from a Chinese manufacturer - the majority of knockoff decks I've seen are either Chinese or Russian, and the Russian decks I've seen tend to be made even more cheaply.
No matter what the case is, I suspect there was no tuck for this. It would seem odd for someone to have a brand new deck, still cello-wrapped, and to throw away the box for it, unless the box was accidentally destroyed while the cards remained unaffected (an unlikely scenario).