The concept of "kept at a distance" implies a sense of separation or remoteness. Antonyms for this phrase might include terms like "close," "connected," or "intimate." These words all suggest a sense of emotional or physical proximity, indicating a close relationship between people, places, or things. Other antonyms might include phrases like "embraced," "welcomed," or "included," all of which suggest a sense of acceptance or belonging. Ultimately, the use of antonyms can help to emphasize the importance of maintaining close relationships and strong connections with others, rather than keeping them at a distance.