  This paper reports updated results on our systematic mining of the DENIS
database for nearby very cool M-dwarfs (M6V-M8V, 2.0<I-J<3.0, photometric
distance within 30 pc), We calibrate the DENIS (M_I, I-J) colour-luminosity
relationship from M dwarfs with well measured parallaxes (HIP, GCTP,...),
obtaining distance errors for single dwarfs of 25%. Using proper motions
measured on archive Schmidt plates for stars that meet the photometric
selection criteria, we eliminate the giants by a Reduced Proper Motion cutoff,
which is significantly more selective than a simple proper motion cutoff.
  Here we present new data for 62 red dwarf candidates selected over 5700
square degrees in the DENIS database. 26 of those originate in the 2100 square
degrees analysed in Paper I, with improved parameters here, and 36 were found
in 3600 additional square degrees. 25 of those are new nearby dwarfs. We
determine from that sample of 62 stars a stellar density for 12.0<M_I<14.0 of
2.2(+-0.4)E-3 stars/pc^3/mag. This value is consistent with photometric
luminosity functions measured from deeper and smaller-field observations, but
not with the nearby star luminosity function. In addition we cross-identified
the NLTT and DENIS catalogues to find 15 similar stars, in parts of the sky not
yet covered by the colour-selected search.
