This dataset provides results from a systematic three-parameter scan of gyrokinetic turbulence simulations for TCV tokamak-like plasma conditions, covering 256 Gkeyll simulations that explore the effects of plasma shaping (elongation κ, triangularity δ) and heating power. Each simulation includes comprehensive outputs such as 5D distribution functions, 3D moments, integrated diagnostics, and geometric data, enabling detailed analysis of turbulence characteristics across a wide parameter space. The ~75TB dataset is hosted on the NERSC HPSS web portal and openly available for non-commercial use. Any publication, presentation, or derivative work using this dataset must cite at least this dataset and A.C.D. Hoffmann et al. 2026, arXiv:2605.01117, and may also cite the following related publications that describe the simulations setup and code in more detail, A.C.D. Hoffmann et al. 2026, Nucl. Fusion 66 046022, M. Francisquez et al. 2026, Journal of Comp. Phys. 558 114852. Access the data here: https://portal.nersc.gov/archive/home/a/ah1032/www/gkeyll_tcv_miller_scan. See README for more details.