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A set of m distinct nonzero rationals \a₁, a₂, , aₘ\ such that aᵢ aⱼ+1 is a perfect square for all 1 i <j m, is called a rational Diophantine m-tuple. If in addition, aᵢ²+1 is a perfect square for 1 i m, then we say the m-tuple is strong. In this paper, we construct infinite families of rational Diophantine sextuples containing a strong Diophantine pair.
Dujella et al. (Tue,) studied this question.