The microscopic car-following model by Bando et al. [1-4] is extended by incorporating multi-vehicle interactions. It is shown that the reaction to more than one vehicle ahead leads to a stabilization of the dynamical behavior, i.e. the stable region increases. Still the fundamental macroscopic properties of traffic, free flow and congested flow, are described. More important, due to the multi-anticipative driving behavior driving in narrow platoons is forced such that a third fundamental property of traffic flow, the so-called synchronized flow [5], is modeled as well.