This is also his second time in the 14th century, and he'll be going around the horn again at least once more. When he got to around the 6th or 7th century, Peter said he was going to do three passes over pre-renaissance philosophy. First he followed philosophy in the arabic-speaking world, following muslim, jewish and christian philosophers who wrote in Arabic (this is Peter Adamson's academic specialty). After following this thread nearly to modern day, he wrapped around and followed Latin and vulgar European philosophy, in which he's now beginning the 14th century. He has said it's then his plan to wrap back around and cover Greek language Byzantine philosophy before finally charging ahead into the Renaissance. Peter also publishes a companion podcast, The History of Philosophy in India (he alternates weeks publishing normal HOPWAG and the India series). He's also expressed interest creating similar companion series for Chinese, African, etc. histories of philosophy.
It says on the box "without any gaps", and that's really what you're getting, as complete and comprehensive a history of philosophy as you're likely to get in the podcast medium. This series lets you see how ideas evolved as philosophers responded to and engaged with each other throughout the centuries. Adamson does a really good job at framing how the various philosophers would have though about, and came up with these ideas in their own time and contexts. He engages each philosopher's ideas in the context where they were created, while still doing a good job relating these ideas back to what modern philosophers might think.