A miniature component carrier includes a thin, resilient mask through which are formed multiple spaced-apart apertures each of which is sized and shaped to compliantly receive and hold a miniature component in a controlled orientation during termination processing such that the side margins of the aperture primarily contact and grip the corner regions of the miniature component. At least some of the apertures have side margins that form rhomboidal or elliptical apertures. The shape and size of the multiple spaced-apart apertures confine within an operational tolerance contact between the side margins of the aperture and the side or end wall surfaces of the electronic component. This reduces mechanical damage to the side and end wall surfaces that results from their contact with the side margins during receipt and gripping of the miniature component in the aperture.