The paper proposes a photonic integrated circuit (PIC) design for multi-channel swept-source optical coherence tomography (SS-OCT) with a high-scale elements integration on the chip. The PIC contains a tunable reference arm, four spaced apart sample arms, a k-clock based on an unbalanced Mach-Zehnder interferometer, an OCT interferometer, and balanced photodiodes. The PIC is developed for a silicon nitride manufacturing platform, providing minimum losses. The simulation results demonstrate the possibility of simultaneous reception of OCT data from four different points of the studied tissue sample, which can significantly increase the scanning speed.