  The charmoniumlike state $Y(4260)$ is described as predominantly a $D_1
\bar{D}$ molecule in a coupled-channel quark model
[Phys.\,Rev.\,D\,\textbf{96},\,114022\,(2017)]. The heavy quark spin symmetry
(HQSS) thus implies the possible emergence of its heavy quark spin partners
with molecular configuration as $D_1 \bar{D}^*$ and $D_2^* \bar{D}^*$ below
these charmed mesons' thresholds. We analyze the probabilities of various
intermediate charmed meson loops for $J^{PC}=1^{--}$ exotic state $Y(4360)$ and
find that the channel $D_1 \bar{D}^*$ couples more strongly around its mass
regime, and the coupling behavior remains the same even if the mass of
$Y(4360)$ is pushed closer to $D_1 \bar{D}^*$ threshold. This enlightens that
the most favorable molecular scenario for the $Y(4360)$ could be $D_1
\bar{D}^*$, and hence it can be interpreted as HQSS partner of the $Y(4260)$.
We also find the strong coupling behavior of $D_2^* \bar{D}^*$ channel with the
$\psi(4415)$, which makes it a good candidate for a dominant $D_2^* \bar{D}^*$
molecule. We discuss the important decay patterns of these resonances to
disentangle their long- and short-distance structures.
