Experimentally observed enhanced 14C and 24Ne emission rates from even-even parents in comparison with that from even-odd or odd-even nuclei are explained in the framework of the analytical superasymmetric fission model, by taking various prescriptions for the zero point vibration energy of even-even, even-odd, odd-even and odd-odd emitters. Longer half-lives than previously computed are obtained by extrapolating the present prescriptions to emitted clusters heavier than 24Ne. PACS: 23.90. + w; 27.90. + bThe analytical superasymmetric fission model (ASAFM) has been developed, since 1980, as an efficient alternative to other three methods used to predict new decay modes by spontaneous heavy cluster emission. The various models were reviewed by Sandulescu et al. Two of the more than 140 new decay modes, namely 14C and 2'~Ne radioactivities, are already experimentally confirmed in good agreement with the calculated half-lives and branching ratios relative to alpha decay. They have been found in Ra-isotopes with A=222, 223, 224, 226 and in 23~ 131pa, 232'233U respectively. The pioneering experiment * Supported in part by Bundesministerium ffir Forschung und