A Puzzle - Algorithm Needed or Involved?

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To solve the puzzle involving the series of six two-digit numbers (14, 21, 33, 41, 56, 68), the focus is on finding an algorithm or formula to predict the next sequence. The numbers are consistently rearranged, suggesting a potential permutation generator may be at play. Additionally, there is speculation that modulus operations could be relevant to the solution. The user has 45 instances of these numbers and seeks assistance in calculating the 46th sequence. Exploring both permutation generation and modulus could lead to the desired algorithm.
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I am trying to solve a puzzle. How do I find an algorithm (or a formula) behind a series of six two-digit numbers? (The numbers are as follows: 14, 21, 33, 41, 56, 68.) The two-digit numbers, although different from one another, are always the same ones given. Each time they are rearranged differently. I have been given 45 instances of these six two-digit numbers. I need to calculate the next sequence, the forty-sixth.

Is there a formula (an algorithm) to determine the answer?
Any help warmly received.
 
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lots of algorithms you could attempt to use to solve this...
The two problems this puzzle might be that come to mind are
[0] the sequence maybe a permutation generator.
[1] something to do with modulus.
 

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