βαρύτατα, superlative adverb. The εν τοῖς has the effect of intensifying the superlative. It’s an idiom. It looks elliptical, and is sometimes explained as a cut-down version of (to take this particular example) εγω εν τοις (βαρεως φερουσι) βαρύτατα ἂν ἐνέγκαιμι, “I among those (taking it hard) would take it very/most hard.” (Note the presence of εγω.) But in practice it functions simply as an intensifier.