Dataset and code used in B Prifling, et al, "Large-scale statistical learning for mass transport prediction in porous materials using 90,000 artificially generated microstructures", published in Frontiers in Materials. In this work, we investigate relationships between 3D microstructure and effective diffusivity and permeability, based on a dataset of 90,000 structures and using analytical formulas, artificial neural networks (ANNs), and convolutional neural networks (CNNs). Herein, the codes in Matlab and Python/Tensorflow necessary to investigate the prediction models and reproduce the results of the paper are supplied. Also, microstructures together with their computed geometrical descriptors and effective properties are included.