The French Construction and Housing Code had set an obligation for tertiary buildings to reduce their final energy consumption by 40% in 2030, 50% in 2040, and 60% in 2050. According to ADEME, tertiary buildings in France account for almost a third of the energy consumed in the built environment. As such, buildings in this category could be an important lever to meet these goals necessitated by the energy transition. The availability of high-quality datasets from this sector will be a crucial enabler in meeting these goals by developing and testing new energy management approaches in the buildings. In this paper, we present the thermal energy datasets available and published online for the PREDIS-MHI zone of the GreEn-ER building, a tertiary building with more than a thousand sensors used for research, teaching, and administrative activities in Grenoble.