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Dome A in Antarctica, located at an altitude of 4093 m and with very low temperature in winter down to $$-$$ 83 $$^{\circ }$$ C, is an exceptionally dry site. Measurements of the atmospheric transmission in the range of 0.75-15 THz by a Far-infrared/THz Fourier transform spectrometer (FTS) strongly suggest that Dome A is a unique site for ground-based THz observations, especially for the 200- and 350-micron windows. A 5-m THz telescope (DATE5) is therefore proposed for Chinese Antarctic Kunlun Observatory. We are currently developing a THz superconducting imaging array (TeSIA) for the DATE5. The TeSIA will be working at the 350- $$\upmu $$ m window, with a pixel number of $$32 \times 32$$ and a sensitivity (NEP) of $$\sim $$ 10 $$^{-16}$$ W/Hz $$^{0.5}$$ . Ti transition-edge sensors with time-domain multiplexing and TiN microwave kinetic inductance detectors with frequency-domain multiplexing are both developed for the TeSIA. In this paper, detailed system designs and some measurement results will be presented. [ABSTRACT FROM AUTHOR]