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We measured the electrical resistivity under pressure for an antiferromagnet CeCoGe3 without inversion symmetry in the tetragonal crystal structure. The Néel temperature TN1 = 21 K at ambient pressure decreases monotonically with increasing pressure, and becomes zero at about 5.5 GPa. Superconductivity appears above 4.3 GPa, with a superconduting transition temperature Tsc = 0.72 K and a large upper critical field Hc2(0) = 7 T at 5.6 GPa. The large upper critical field Hc2(0)= 7 T exceeds the Pauli limitting field Hp (≃ 1.86Tsc)=1.3 T as in CePt3Si, CeRhSi3 and CeIrSi3. The large slope of Hc2 at Tsc, -dHc2/dT = 18T/K, at 5.6 GPa indicates the heavy-fermion superconductivity in CeCoGe3.