it won't let me attach photos so to save time a google search of アロマティカス (copy and paste) shows you this mystery herb.

Well, I Googled the Japanese and found loads of hits. Many gave the Botanical name of the plant: Plectranthus amboinicus. Languages which use their own writing systems still give Botanical names in Latin script on serious sites, so you can find them if you visit the page rather than just looking at the pictures.

It looks like the Plectranthus sold as Cuban Oregano, also like the Plectranthus sold as a repellent for dogs and cats (they don't like the smell, its used to keep them out of flower beds). The whole Plectranthus/Coleus family is huge and many of them look alike. Your biggest problem would be finding true seeds, from plants with the correct fragrance and not one of the look alikes.

In India, this herb is called Ajwain, pretty useful herb.

If you're in the US or Canada, you can order it from Richters in Canada. They call it Broadleaf Thyme.