In this paper, we demonstrate novel properties in the phenomenology of supercontinuum generation in sapphire with diffractive lenses and provide a complete spatial, spectral, and temporal characterization of the so-generated pulses. Filament formation inside the sample is analyzed and related to the measured spectra, finding that clipping of the filament results in blueshifted spectra. For comparison, filament formation with refractive lenses is also examined, and the roles of diffraction and extension of the focusing region are inspected. The tunability achieved in the anti-Stokes side of the spectrum is also extended to the ultraviolet by frequency mixing with infrared femtosecond pulses.