The paper presents the new versatile code designed by our team for applications of supercomputer systems to large-scale 3D simulations of problems appearing in experimental Pulsed Power Energetic (PPE) and High Energy Density Plasmas (HEDP). Because of the diversity of physical processes which should be taken into account and because of high degrees of spatial and temporal scale non-uniformities, these problems on the whole are so intricate and computationally expensive, that may be comprehensively studied by use of distributed high-performance (multi-Tflops) computing only, especially in 3D case. The development of parallel codes for HEDP-“multiphysics” simulations which would be able to facilitate a design of future experiments and to predict final parameters of the pinch plasmas is a real challenge for specialists in applied mathematics. The developed code (referred to as MARPLE – Magnetically Accelerated Radiative Plasma Explorer, 3D-version) is based on magnetohydrodynamic model in accordance with modern knowledge about multicharged pinch plasmas. Essential elements of this model are wide-range semi-empirical equations of state, electron-ion energy relaxation, energy dissipation, and radiative transfer. This is an object-oriented, parallel code designed for scientific simulations at systems performing distributed computations.