  This work presents the properties of 42 objects in the group of the most
luminous, highest star formation rate LINERs at z = 0.04 - 0.11. We obtained
long-slit spectroscopy of the nuclear regions for all sources, and FIR data
(Herschel and IRAS) for 13 of them. We measured emission line intensities,
extinction, stellar populations, stellar masses, ages, AGN luminosities, and
star-formation rates. We find considerable differences from other low-redshift
LINERs, in terms of extinction, and general similarity to star forming (SF)
galaxies. We confirm the existence of such luminous LINERs in the local
universe, after being previously detected at z ~ 0.3 by Tommasin et al. (2012).
The median stellar mass of these LINERs corresponds to 6 - 7 $\times$
10$^{10}$M$_{\odot}$ which was found in previous work to correspond to the peak
of relative growth rate of stellar populations and therefore for the highest
SFRs. Other LINERs although showing similar AGN luminosities have lower SFR. We
find that most of these sources have LAGN ~ LSF suggesting co-evolution of
black hole and stellar mass. In general among local LINERs being on the
main-sequence of SF galaxies is related to their AGN luminosity.
