  We describe the selection of a sample of 34 radio sources from the 6C survey
(Hales, Baldwin & Warner 1993) from a region of sky covering 0.133 sr. The
selection criteria for this sample, hereafter called 6C*, were chosen to
optimise the chances of finding radio galaxies at redshift z > 4. Optical
follow-up observations have already led to the discovery of the most distant
known radio galaxy at z = 4.41 (Rawlings et al. 1996). We present VLA radio
maps and derive radio spectra for all the 6C* objects.
