  The Planckian relaxation rate $\hbar/t_\mathrm{P} = 2\pi k_\mathrm{B} T$ sets
a characteristic time scale for both equilibration of quantum critical systems
and maximal quantum chaos. In this note, we show that at the critical coupling
between a superconducting dot and the complex Sachdev-Ye-Kitaev model, known to
be maximally chaotic, the pairing gap $\Delta$ behaves as $\eta \,\,
\hbar/t_\mathrm{P}$ at low temperatures, where $\eta$ is an order one constant.
The lower critical temperature emerges with a further increase of the coupling
strength so that the finite $\Delta$ domain is settled between the two critical
temperatures.
