  We study the properties of vortex solutions and magnetic response of
two-component $U(1)\times U(1)\times\mathbb{Z}_2$ superconductors, with phase
separation driven by intercomponent density-density interaction. Such a theory
can be viewed arising from the breakdown of $SU(2)$ symmetry by a biquadratic
interaction between the components of the field. Depending on the
symmetry-breaking term, there are two ground-state phases: one where both
components of the doublet are equal (the miscible phase) and one where only one
component assumes a non zero vacuum expectation value (the immiscible state).
In the latter phase, the spectrum of topological excitations contains both
domain walls and vortices. We show the existence of another kind of excitation
that has properties of both topological excitations at the same time. They
combine vorticity together with a circular domain wall, interpolating between
inequivalent broken states, that shows up as a ring of localized magnetic flux.
Asymptotically, this resembles a vortex carrying multiple flux quanta, but
because the magnetic field is localized at a given distance from the center
this looks like a pipe. The isolated multiquanta pipelike vortices can be
either stable or metastable, even if the system is not type-1. We also discuss
the response of such a system to an externally applied magnetic field.
