Sixteen years of continuous observations with the Fermi Large Area Telescope (LAT) provide an unprecedented opportunity to search for faint or previously unrecognized gamma-ray emitters, particularly at high energies where the angular resolution improves and the diffuse background is reduced. We present a new catalog of gamma-ray source candidates identified using a data-driven, clustering-based analysis of Pass 8 LAT data above 3GeV at Galactic latitudes |b|>10{deg}. The pipeline integrates the SIeving MEthod for FInding Core, version 3 (SIMEFIC III) for photon denoising with the density-based spatial clustering of applications with noise (DBSCAN) algorithm. We detect 3112 gamma-ray cluster candidates, of which 2932 are associated with known gamma-ray sources. Cross-matching yields 37 counterparts in 1CGH, 23 in CRATES, 21 in Roma-BZCAT, 17 in MST-12yr. The remaining 370 clusters have no known gamma-ray counterpart and are proposed as new source candidates.