Generalised taxicab numbers?

Note: This is not a question about taxis.

Taxicab(k, j, n) is defined as the smallest positive integer which can be expressed as the sum of j kth powers of positive integers in n different ways. For example, Taxicab(3, 2, 2) = 1,729 = 1^3 + 12^3 = 9^3 + 10^3.

Apparently Taxicab numbers are known for k = 2, 3 or 4. I m wondering whether anyone reading this knows whether any Taxicab numbers are known where k = 5. For example, a^5 + b^5 = c^5 + d^5 where a, b, c and d are positive integers.