Fresh Is Best. No matter how many mugs it takes you to wake up in the morning, your personal coffee turnover isn't going to be nearly equal to that of your local coffee shop, which means your beans are probably a bit longer in the tooth than the cafe's are on any given day.
Sesame seeds, despite their tiny size, are a valuable cash crop. They come from the Sesamum Indicum plant, which is native to Africa but is now found mostly throughout Asia, with Myanmar and India the largest producers.
You can direct-seed sesame after all danger of frost is past. Sesame must be planted shallow, preferably 1/2 deep, and does best just after a rain, or if the soil has been irrigated to slightly damp. Germination is 1-2 weeks, and sesame matures in 80-125 days on average.