Crumble the yeast into the bowl of a dough mixer. Add lukewarm water, half of the olive oil, honey, and salt; mix everything thoroughly until the yeast has dissolved. Add flour and knead to a smooth dough within 5 minutes. Transfer dough into a bowl that has been brushed with olive oil. Cover and let rise in a warm place until double in size, around 45 minutes.
In the meantime, wash the tomatoes and cut the larger pieces in half again. Pluck basil leaves from stems; peel garlic. Chop basil and garlic together, then sauté briefly in the remaining olive oil.
Preheat oven to 225 ° C / 435 ° F. Turn dough out onto a floured work surface. Divide into four pieces, then press each quarter into a flat round. Put one of the rounds into a well-oiled tajine. Press tomatoes into the dough, then drizzle 1/4 of the basil-garlic oil onto the round. Sprinkle the focaccia with sea salt. Put covered tajine into the oven and bake for around 8 min. Then remove lids and bake for another 8 min. until golden brown. Prepare the other 3 focaccia in the same manner.