We reinvestigated the neutron multiplicity yields of Ba-Mo, Ce-Zr, Te-Pd, and Nd-Sr from the spontaneous fission of \(^{252}\)Cf; by (i) using both \(\gamma\)-\(\gamma\)-\(\gamma\)-\(\gamma\) and \(\gamma\)-\(\gamma\)-\(\gamma\) coincidence data, (ii) using up to date level scheme structures, and (iii) cross-checking analogous energy transitions in multiple isotopes, we have achieved higher precision than previous analyses. Particular attention was given to the Ba-Mo pairs where our results clearly confirm that the Ba-Mo yield data have a second hot fission mode where 8, 9, 10, and now 11 neutron evaporation channels are observed. These are the first observations of the 11 neutron channel. These 8-11 neutron channels are observed for the first time in the Ce-Zr pairs, but are not observed in other fission pairs. The measured intensities of the second mode in Ba-Mo and Ce-Zr pairs are \(\sim\)1.5(4)\(\%\) and \(\sim\)1.0(3)\(\%\), respectively. These high neutron number evaporation modes can be an indication of hyperdeformation and/or octupole deformation in \(^{143-145}\)Ba and in \(^{146,148}\)Ce at scission to give rise to such high neutron multiplicities.