  The results of the first search for long-lived gluinos produced in 7 TeV pp
collisions at the CERN Large Hadron Collider are presented. The search looks
for evidence of long-lived particles that stop in the CMS detector and decay in
the quiescent periods between beam crossings. In a dataset with a peak
instantaneous luminosity of 10^-32 /cm^2/s, an integrated luminosity of 10/pb,
and a search interval corresponding to 62 hours of LHC operation, no
significant excess above background was observed. Limits at the 95% confidence
level on gluino pair production over 13 orders of magnitude of gluino lifetime
are set. For a mass difference (m_gluino-m_neutralino)>100 GeV/c^2, and
assuming BR(gluino-> g neutralino)=100%, m_gluino < 370 GeV/c^2 are excluded
for lifetimes from 10^-6 s to 1000 s.
