Multiplayer Interactive Narrative Experiences (MINEs) are interactive authored narratives in which multiple players experience distinct narratives (multiplayer differentiability) and their actions influence the storylines of both themselves and others (inter-player agency). Little research has been done to explore the possibilities of this type of narrative, and no complete model nor system exists. In this paper we introduce a model for MINEs based on sculptural hypertext and describe its implementation in a prototype system: StoryMINE. Then using a number of working narrative scenarios we demonstrate that the model and system supports a variety of inter-player interactions. It is our hope that this system provides a platform for the creation and reading of MINEs, and that this in turn creates opportunities for further research into this novel form of digital storytelling.