The problems of making phase-pure (Hg0.7Bi0.3)Sr2RCu2O6+δ system, with R = Pr, Nd, and Gd, are discussed in detail. Complete substitution of these three rare earths at the Ca site is realized in this system. We identify the phase responsible for the magnetism to be similar to that of TlBa2CaCu2O6+δ(so-called 1212 phase) with a space group of P4/mmm and lattice constants of a~3.8A and c~12A. Magneric –susceptibility (X) measurements on these samples give an effective moment close to +3 for Gd, lower than +3 for Nd, but intermediate between those of +3 and $4 for Pr. NO anomalous rare-earth (Pr, Nd, Gd) antiferromagnetic orderings were observed down to 5K.