How I generate all possible pairs of matrices?

First I define orthogonal matrix as when I combine two matrices (entry in first matrix with the corresponding entry in second matrix) there is no repetition in the ordered pair in the whole new matrix . e.g

A=[1 2 3;2 3 1; 3 2 1] and B=[1 2 3;3 1 2;2 1 3] 

New = [1 1      2 2      3 3; 2 3   3 1    1 2; 3 2     2 1     1 3]

In the resulting matrix there is no repetition in the pairs.

If I have 120 such matrices , how I generate all possible mutually orthogonal out of these 120.

[Walter Roberson]

It is not clear what the difference is between this question and your earlier question https://www.mathworks.com/matlabcentral/answers/377999-how-can-i-generate-all-possible-mutually-orthogonal-permutative-matrices-of-order-3-in-matlab

[Stephen23]

duplicate:

https://www.mathworks.com/matlabcentral/answers/379086-how-to-generate-all-possible-matrices-with-the-given-entries

Answer 1

[Ammy]

The question is same as earlier , but still I don't know the appropriate way to get all possible pairs in MATLAB. Would you please like to introduce any code that solve my problem.