We provide lattice QCD calculations of the proton's generalized form factors (moments of the proton's unpolarized generalized parton distributions) at a pion mass of 358 MeV and a lattice spacing of 0.094 fm, matched with leading logarithmic accuracy to mu = 2 GeV. This dataset is associated to the publication JHEP 08 (2024) 162 [arXiv:2405.10304]. We provide both data with a cut in Euclidean time of 3 lattice units (more precise statistically) and 4 lattice units (less precise, but with smaller excited state contamination). The result is a distribution of 348 jack-knife samples, constructed from 348 independent gauge configurations. The standard deviation of the jack-knife samples distribution should be multiplied by sqrt(347) to obtain an estimate of the true standard deviation of the distribution.