Skyrmions have been found in cubic helimagnets and in ultrathin films with surface induced Dzyaloshinskii-Moriya interaction (DMI). In bulk, skyrmionic phases are observed in a tiny temperature range near ordering temperature. Theoretically, skyrmion-lattice ground-states have been predicted to exist in crystals from certain Laue classes. Experimentally, these skyrmion phases have yet not been observed. We have identified tetragonal crystals of EuNiGe3 as suitable bulk material to observe skyrmionic ground-state phases, in particular field-driven skyrmion lattices. The presence of the skyrmion lattice (at high magnetic fields) and remanent Dzyaloshinskii spiral is suggested to be verified via neutron small-angle diffraction at various magnetic fields of up to 4 T below 10 K and at lower fields in the intermediate temperature range between 10 and 14 K.