Terahertz tomography allows for reliable non-destructive 3D inspection of plastic components at high resolution. The tomographic inspection from different projection angles avoids failure to detect details, which, in the case of one-sided inspection, would be obstructed by other features. The price to pay for this detailed imaging is long acquisition times for the tomographic data. To speed up the process of tomography imaging in the terahertz range, we demonstrate multi-channel setups for acquiring tomographic data utilizing arrays operating at around 70 and 300 GHz. The presented systems allow for an increase in measurement speed by at least a factor of eight up to several orders of magnitude.