Is this in the direction of what you are looking for?
I know that only each grid is symmetrical and not the whole puzzle.
Working on that with
this software, which Glyn informed me about yesterday.
This puzzle was created as follows using SadMan and JSudoku only:
1) Start five instances of SadMan and place them in a Samurai pattern on the screen.
2) Have each instance generate a puzzle.
3) Have each instance solve the puzzle.
4) In the four outer grids use the tool "Edit > Modify > Substitution" to transpose the digits so that the overlapping block matches its counterpart in the center grid.
5) Reset each puzzle to show the givens only.
6) Remove the givens in the four overlapping blocks.
7) Copy out the five code strings to a file and paste them all into a logical solver, for instance JSudoku.
8) Solve the puzzle to see if the required solving techniques is what you want. If not add or remove givens until the puzzle suits you.
enxio27 Samurai #1Rating based on required solving techniques: Hard
040800060000030008080007023000018000610709054000560000560900000200070000070002000
028007090006008400501060000600085000000000000000230004000050102000800300000100940
000000000000730000000002000900003500020000040004100006000200000000056000000000000
400000000708305000005207000900102004000000000100408003009704300207903605500000009
000070004000000002000400030000800100000609000004001000010006050900000003200050960
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