  Supernovae (SNe) play a critical role in the metal enrichment of the
intra-cluster medium (ICM) in galaxy clusters. Not only are SNe the main source
for metals, but they may also supply the energy to eject enriched gas from
galaxies by winds. However, measurements of SN rates in galaxy clusters have
not been published to date. We have initiated a program to find SNe in 163
medium-redshift (0.06<z<0.2) Abell clusters, using the Wise Observatory 1m
telescope. We report here our on first results and describe our main scientific
goals. Following the discovery of a SN in the remote periphery (78 Kpc) of the
cD galaxy of Abell 403, we discuss a novel explanation for the centrally
enhanced metal abundances indicated by X-ray observations of galaxy clusters.
