  The search for MgB2-like superconductivity has before now been limited to
binary and ternary systems. However systems with more-than-three-elements that
meet the MgB2 model have yet to be investigated either computationally or
experimentally. Here we show that through computational synthesis of two binary
or ternary materials from the Z=4.67, 10 and 12.67 families, we can get Z=7.33
systems with more-than-three elements. We have identified over 300 of such
possibilities for further studies. We propose that the resultant combinatorial
synthesis of such Z=7.33 systems with more-than-three-elements and that meet
the MgB2 model will be superconducting with Tcs higher than 39K.
