Optical microparticle manipulation using laser fields of various configurations has found wide use in a variety of fields: for retardation, deflection, cooling, and localization of atoms; in biology and medicine for non-invasive trapping and examination of various types of bacteria, cells, viruses, and molecules; in nanotechnologies and micromechanical components control. Recent years have seen an increased interest in enhanced capabilities of microparticle manipulation thanks to special properties of the laser beams. For example, rotating the microparticles trapped by the laser field due to the spin or orbital angular momentum of the beam. In this paper, the fifth-order Bessel beam is produced using only a single optical element -- a diffractive helical axicon. This beam was successfully used to trap and rotate 5 1 - 10 μm biological microobjects (yeast particles) and polystyrene beads of diameter 5 μm. Also, DOEs to form phase vortices are discussed and studied and an experiment on simultaneously trapping four microparticles in different diffraction orders are described.