We present the results of our search for a dynamical family around the active asteroid P/2012 F5 ( Gibbs ) .
By applying the hierarchical clustering method , we discover an extremely compact 9-body cluster associated with P/2012 F5 .
The statistical significance of this newly discovered Gibbs cluster is estimated to be > 99.9 % , strongly suggesting that its members share a common origin .
The cluster is located in a dynamically cold region of the outer main-belt at a proper semi-major axis of \sim 3.005 AU , and all members are found to be dynamically stable over very long timescales .
Backward numerical orbital integrations show that the age of the cluster is only 1.5 \pm 0.1 Myr .
Taxonomic classifications are unavailable for most of the cluster members , but SDSS spectrophotometry available for two cluster members indicate that both appear to be Q -type objects .
We also estimate a lower limit of the size of the parent body to be about 10 km , and find that the impact event which produced the Gibbs cluster is intermediate between a cratering and a catastrophic collision .
In addition , we search for new main-belt comets in the region of the Gibbs cluster by observing seven asteroids either belonging to the cluster , or being very close in the space of orbital proper elements .
However , we do not detect any convincing evidence of the presence of a tail or coma in any our targets .
Finally , we obtain optical images of P/2012 F5 , and find absolute R -band and V -band magnitudes of H _ { R } = 17.0 \pm 0.1 mag and H _ { V } = 17.4 \pm 0.1 mag , respectively , corresponding to an upper limit on the diameter of the P/2012 F5 nucleus of \sim 2 km .