We report the discovery of an optical synchrotron jet emanating from the nucleus of NGC 1218, the galaxy hosting the radio source 3C 78. The jet is similar to that of M87, although smaller in projected length. The observations were obtained as part of our Hubble Space Telescope "snapshot" program to acquire broadband images with high spatial resolution of 3CR radio sources. Although the number of known optical synchrotron jets is small, this may be primarily due to observational limitations, and a major goal of the snapshot survey is to establish the frequency with which the optical jet phenomenon occurs. We present preliminary statistics showing that "optical jet" radio sources appear smaller than average. Statistically, sources with optical hot spots seem to obey the same relationship. If beaming is a contributory factor, then this suggests that hot spots too are beamed; however, environment or age may also play a substantial role.