Identification of alpha cluster states analogous to the $^{12}$C Hoyle state in heavier alpha-conjugate nuclei can provide tests of the existence of alpha condensates in nuclei. Such states are predicted for $^{16}$O, $^{20}$Ne, $^{24}$Mg, $^{28}$Si etc. at excitation energies slightly above the multi-alpha particle decay threshold, but have not yet been experimentally identified. The Thick Target Inverse Kinematics (TTIK) technique can be used to study the breakup of excited self-conjugate nuclei into many alpha particles. The reaction 20Ne+${\alpha}$ was studied using a $^{20}$Ne beam at 12MeV/nucleon from the K150 cyclotron at Texas A&M University. The TTIK method was used to study both single ${\alpha}$-particle emission and multiple ${\alpha}$-particle decays. Events with alpha multiplicity up to four were analyzed. The analysis of the three ${\alpha}$- particle emission data allowed the identification of the Hoyle state and other $^{12}$C excited states decaying into three alpha particles. The results are shown and compared with other data available in the literature. Although the statistics for events with alpha multiplicity four is low, the data show a structure at about 15.2 MeV that could indicate the existence in $^{16}$O of a state analogous to the $^{12}$C Hoyle state. This structure is confirmed by the re-analysis of alpha multiplicity four events from a previous experiment performed at 9.7 MeV/nucleon with a similar setup but lower granularity. Moreover, the reconstructed excitation energy of $^{24}$Mg for these events peaks at around 34 MeV, very close to the predicted excitation energy for an excited state analogous to the $^{12}$C Hoyle state in $^{24}$Mg.