For binary words, every maximum 3-wise intersecting family is a star; for alphabets of size at least 3, maximum intersecting families of words are exactly the stars.
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An Erd\H{o}s-Ko-Rado theorem for binary codes
For binary words, every maximum 3-wise intersecting family is a star; for alphabets of size at least 3, maximum intersecting families of words are exactly the stars.