This dataset contains optimised refractive index profile designs for multimode optical fibres with over 1000 linearly polarised modes. The base profile is composed of a graded-index core and a cladding trench. All parameters were optimised following the procedure described in the manuscript "Maximizing the Capacity of Graded-Index Multimode Fibers in the Linear Regime", DOI: 10.1109/JLT.2023.3324611. The optimisation was carried out on Matlab using a vector finite difference mode solver following the method in DOI: 10.1109/JLT.2008.923643.