Combine white vinegar and olive oil in a large pot; bring to a boil. Add carrots; simmer until tender, about 10 minutes. Stir in jalapeños, garlic, peppercorns, coriander, kosher salt, mustard seeds, and thyme; simmer until jalapeños are softened, 5 to 10 minutes.
Pour jalapeño mixture into 2 jars, making sure that the jalapeños are fully submerged in vinegar mixture. Cool for about 1 hour; cover and refrigerate.