  We report the results of a computer enumeration that found that there are
3155 perfect 1-factorisations (P1Fs) of the complete graph $K_{16}$. Of these,
89 have a non-trivial automorphism group (correcting an earlier claim of 88 by
Meszka and Rosa).
  We also (i) describe a new invariant which distinguishes between the P1Fs of
$K_{16}$, (ii) observe that the new P1Fs produce no atomic Latin squares of
order 15 and (iii) record P1Fs for a number of large orders that exceed prime
powers by one.
