  The LHCb Collaboration announced in 2021 the discovery of a new
tetraquark-like state, named $T_{cc}^+$, with minimum quark content $cc\bar
u\bar d$, close to the $D^0D^{*+}$ threshold. This has motivated countless
theoretical works trying to identify the dynamics which is responsible of the
formation of such state; in particular, the one performed by us in Ref.
\cite{Ortega:2022efc}, where a $D^0D^{*+}$ molecular candidate whose mass,
width, scattering length and effective ranges are in reasonable agreement with
experimental measurements. We explore herein the possibility of having
$T_{cc}^+$ partners in all doubly-heavy tetraquark sectors, considering doubly
represented light antiquarks $u$, $d$ or $s$, and taking into account all
possible spin-parity quantum numbers. The computation is done using a
constituent-quark-model based meson-meson coupled-channels framework which has
been tested many times in the last fifteen years describing conventional heavy
mesons and baryons, their coupling with hadron-hadron thresholds but also in
exploring its application to compact multiquark structures. The advantage of
using an approach with such a relatively large history is that it allows us to
make predictions because all the parameters have already been constrained from
our previous works. Then, from this perspective, we present a parameter-free
model-dependent prediction of doubly-heavy tetraquarks that may be partners of
the discovered $T_{cc}^+$ state.
