  We propose a novel architecture that utilizes two 0-$\pi$ qubits based on
topological Josephson junctions to implement a parity-protected superconducting
qubit. The topological Josephson junctions provides protection against
fabrication variations, which ensures the identical Josephson junctions
required to implement the0-$\pi$ qubit. By viewing the even and odd parity
ground states of a 0-$\pi$ qubit as spin-$\frac{1}{2}$ states, we construct the
logic qubit states using the total parity odd subspace of two 0-$\pi$ qubits.
This parity-protected qubit exhibits robustness against charge noise, similar
to a singlet-triplet qubit's immunity to global magnetic field fluctuations.
Meanwhile, the flux noise cannot directly couple two states with the same total
parity and therefore is greatly suppressed. Benefiting from the simultaneous
protection from both charge and flux noise, we demonstrate a dramatic
enhancement of both $T_1$ and $T_2$ coherence times. Our work presents a new
approach to engineer symmetry-protected superconducting qubits.
