We present a study of the SU(3) glueball spectrum for all J(PC) values
at lattice spacings down to a-1 = 3.73(6) GeV (beta = 6.4) using latt
ices of size up to 32(4). We extend previous studies and show that the
continuum limit has effectively been reached. The number of clearly i
dentified J(PC) states has been substantially increased. There are no
clear signals for spin-exotic glueballs below 3 GeV. A comparison with
current experimental glueball candidates is made.