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A set of $m$ distinct nonzero rationals $\{a_1,a_2,\ldots,a_m\}$ such that$a_ia_j+1$ is a perfect square for all $1\leq i<j\leq m$, is called a rationalDiophantine $m$-tuple. It is proved recently that there are infinitely manyrational Diophantine sextuples. In this paper, we construct infinite familiesof rational Diophantine sextuples with special structure, namely the sextuplescontaining quadruples and quintuples of certain type.

Rational Diophantine sextuples containing two regular quadruples and one regular quintuple