A d (d>3) dimensional unit of information in quantum information is called a audit. For d=6, there exist six magnetic quantum numbers of spin -5/2. For SI (S=5/2, 1=5/2) spin system, 36 two qudit states are determined. First, two qudit CNOT quantum logic gales are obtained for this spin system. Then 36 two qudit entangled states are constructed by using Hadamard (for d=6) and CNOT quantum logic gates. In this study, 1\4n@C60 molecule is considered as SI (S=5/2,.1=5/2) spin system. Possible applications of this spin system in quantum information are also discussed.