Digital Twins enable the analysis of systems under real world conditions using multiphysics models, sensors and bidirectional data connections between the digital and the physical twin. At the core of the Digital Twin lies the three-dimensional geometric representation of the system. Within the SCoPE project a method to enhance the level of symmetry between real and virtual space and create geometric twins of parts was developed. The proposed method unifies the 3D CAD model with selected real measurements to generate as-manufactured geometric representations. The generation is automated using modification algorithms and based on the STEP data format of the international standard for product data representation and exchange. Furthermore, a Digital Twin technology demonstrator was developed as part of the SCoPE project. The demonstrator enables a motion-structural simulation of a bending beam test bench and materializes Digital Twin technology in a tangible system. The approach provides proof of many of the claimed benefits and challenges through a comprehensible Digital Twin system.