Diagonal Block Cube Puzzle

Assemble the 7 pieces into a cube shape. This puzzle was inspired by the classic Soma Cube puzzle, which also is a 3x3x3 cube puzzle with 7 distinct pieces. However, this puzzle is different because all the pieces consist of blocks connected diagonally by the edges. There is only one solution (2 if you count the mirror image as a separate solution) and it is difficult to find. 

All 7 pieces are in the provided in the STL file. Only one piece needs supports (the T-shaped piece)

The solution is available as a ZIP file in the downloads. Don't download it if you don't want to know the solution!