  We consider warped $\mathrm{AdS}_2\times \mathcal M_4$ backgrounds within
$F(4)$ gauged supergravity in six dimensions. In particular, we are able to
find supersymmetric solutions of the aforementioned type characterized by
$\textrm{AdS}_{6}$ asymptotics and an $\mathcal M_4$ given by a three-sphere
warped over a segment. Subsequently, we provide the 10D uplift of the solutions
to massive type IIA supergravity, where the geometry is $\mathrm{AdS}_2\times
S^{3}\times\tilde{S}^3$ warped over a strip. Finally we construct the brane
intersection underlying one of these supergravity backgrounds. The explicit
setup involves a D0-F1-D4 bound state intersecting a D4-D8 system.
