  Periodically driven (Floquet) systems are described by time dependent
Hamiltonians that possess discrete time translation symmetry. The spontaneous
breaking of this symmetry leads to the emergence of a novel non-equilibrium
phase of matter - the Discrete Time Crystal (DTC). In this paper, we propose a
scheme to extend the lifetime of a DTC in a paradigmatic model - a translation
invariant Ising spin chain with nearest-neighbor interaction $J$, subjected to
a periodic kick by a transverse magnetic field with frequency $\frac{2
\pi}{T}$. This system exhibits the hallmark signature of a DTC - persistent
subharmonic oscillations with frequency $\frac{\pi}{T}$ - for a wide parameter
regime. Employing both analytical arguments as well as exact diagonalization
calculations, we demonstrate that the lifetime of the DTC is maximized, when
the interaction strength is tuned to an optimal value, $JT = \pi$. Our proposal
essentially relies on an interaction induced quantum interference mechanism
that suppresses the creation of excitations, and thereby enhances the DTC
lifetime. Intriguingly, we find that the period doubling oscillations can last
eternally in even size systems. This anomalously long lifetime can be
attributed to a time reflection symmetry that emerges at $JT=\pi$. Our work
provides a promising avenue for realizing a robust DTC in various quantum
emulator platforms.
