Changes in precipitation, and in particular heavy precipitation extremes, have wide-ranging implications for society particularly in a changing climate. However, the impacts of these changes can be sensitive to how precipitation accumulates over time and, for example, large-scale disastrous flooding is often associated with extreme precipitation persisting over several days. Little is known about how the temporal sequencing of precipitation is expected to change under global warming. This lack of knowledge is alarming given the link between multi-day extreme precipitation and flooding catastrophes. We address this gap, and focus on a previously neglected aspect of precipitation, by studying changes in temporally clustered extreme precipitation (that is, extreme precipitation occurring on consecutive days), based on a unique quasi-global database of observational records (6006 high-quality stations with long-term daily precipitation during 1961-2010) and climate model simulations. We now share the calculated seasonal/annual indices of precipitation so that our results can be easily be verified with these opened observational data. The specific definition and calculation of these indices could be found in the paper. Researchers who use these data are required to cite our paper.