The Boston University blazar research group has been monitoring a sample of gamma-ray blazars with the Very Long Baseline Array at 43 GHz since the launch of the Fermi Gamma-ray Space Telescope. The sample includes three gamma-ray quasars, 1222+216, 3C279, and PKS1510-089, which have been recently detected at E>0.1 TeV (VHE) with Cherenkov telescopes. The quasar 1222+216 has flared already twice at VHE gamma-rays during the Fermi era. We present an analysis of the kinematics of the inner parsec-scale jet of 1222+216 during quiescent states and VHE events and discuss the possible mechanisms for VHE photon production and the location of the VHE emission sites.