How to input a diameter distance structure

Let v_i be the distance of f(i) and f(i+6), 1≤ i≤ 6. They all belong to the set {1,…,6}. The diameter distance structure is the D₆-orbit of the vector (v₁,…,v₆) where the dihedral group acts on the set of indices in the natural way.

In order to input the diameter distance structure

1. either a comma-separated list of 6 diameter distances describing the complete diameter distance structure of a tone row must be input, e.g.
   1,2,4,4,5,4
2. or a part of the diameter distance structure of a tone row must be input, e.g.
   2,4
   which is a diameter distance structure of length 2,
3. or a blank-separated list of distance structures as in 2. must be input. E.g.
   1,2 4,5,4
   which consists of two structures of length 2 and 3. Using AND demands that all the different parts must simultaneously occur in the diameter distance structure of a tone row, whereas using OR at least one of these parts must occur in in the diameter distance structure of a tone row.
4. It is also possible to replace the occurrence of a single (numerical) digit by a dot . or by
   \d
   of exactly two (numerical) digits by two dots .. or by
   \d\d
   of arbitrary many digits by .*? or by
   \d*?
   

• the occurrence of the input structure in the diameter distance structure of a tone row in normal form,
• but also in its retrograde,
• or in its cyclic shifts. E.g. the sequence
  4,1,2
  is found in a tone row with diameter distance structure
  1,2,4,4,5,4
  even though the three numbers occur at the end and the beginning of this sequence in retrograde order.)

List of all 2065 diameter distance structures.