<p>In the article, a quantum Stirling machine is proposed, and its behavior as a quantum heat engine (QHE) or a refrigerator is investigated. The working substance of the machine can be described as a two-qubit XYZ spin chain subjected to a magnetic field and the Dzyaloshinskii-Moriya interaction (DMI). Extensive research has examined the effects of magnetic fields, hot-bath temperature, and DMI on the efficiency and performance coefficient of Stirling heat engines and refrigerators. It has been observed that, by carefully selecting system parameters, the Stirling cycle can be effectively used as a highly efficient QHE or refrigerator. This selection enables optimal performance coefficients, ensuring the system operates at its maximum efficiency. By increasing the temperature of the hot bath and neglecting DMI losses, the system operates as a QHE, achieving a maximum efficiency of 28%. Additionally, by increasing the DMI parameter and reducing the temperature of the cold bath, the system can operate effectively as a quantum refrigerator. In this configuration, the system exhibits a remarkable performance coefficient of approximately 10.5. Therefore, by carefully selecting system parameters, we can achieve maximum efficiency or performance coefficient.</p>