KöMaL 2008 K167

In honour to the Scottish mathematician Dudley Langford, numbers of the following property are called DudLa numbers: Every digit of the number occurs at least twice, and between any pair of identical digits there is as many other digits as the value of the digit in question. For example, 723 121 327 is a DudLa number since there is 1 other digit between two 1's, 2 other digits between two 2's, 3 other digits between two 3's and 7 other digits between two 7's. Find as many 7-digit DudLa numbers as you can.