Thank you, Larisa.
I agree, it is some type of Basil (
Ocimum), but the color and shape of the flowers seems different from the more common kinds of basil.
There is a hybrid known as African Blue Basil. It is a cross between Kilimanjaro Basil (
Ocimum kilimandscharicum) and common Purple Basil (
Ocimum basilicum 'Dark Opal') that seems to have flowers similar the ones in the picture. It isn't that common but it is sold by some nurseries here in the U.S. and is probably more common among herb connoisseurs.
The plants in the photos still don't look quite the same. Perhaps it is yet another species or hybrid.
However, it could also be variation due to culture or seedling variability.