We measured the collective plasmon scattering spectrum from diamond at pressures approaching 370GPa. Samples are dynamically compressed employing counter-propagating laser beams where the compression states are determined by Bragg scattering. X-ray energy loss spectroscopy with 8 keV photons from the Linac Coherently Light Source (LCLS) is then applied to probe the electronic state. The x-rays excite a collective interband transition, leading to a clear plasmon signal whose dispersion matches density functional theory. The data reveal a pressure-dependent Penn gap and demonstrate a non-conducting warm dense matter state for conditions of planetary interiors. Show Partial Abstract