Twinning in natural quartz is very common; see e.g http://www.minsocam.org/msa/collectors_corner/arc/qtztwin.htm
Therefore in can be expected in synthetic quartz too. The presence of twinning can be detected by optical and diffraction methods; sometimes, for large crystals, even by morphological features, like re-entrant angles. Optical observation between crossed polarisers of a twin usually shows domains differently illuminated. The diffraction pattern (X-rays, electrons) of a twin shows split spots.