Write a Python program that takes a sequence of points and returns the shortest path that goes through them all.
Here is an example of a Python program that takes a sequence of points and returns the shortest path that goes through them all using the Traveling Salesman Problem algorithm:

```
from itertools import permutations

def tsp(points):
    # calculate the distance between all points
    def distance(p1, p2):
        x1, y1 = p1
        x2, y2 = p2
        return ((x1 - x2) ** 2 + (y1 - y2) ** 2) ** 0.5

    # get all possible permutations of points
    all_paths = permutations(points)

    # calculate the distance of each path and keep track of the shortest one
    shortest_path = float(inf)
    shortest_path_points = []
    for path in all_paths:
        total_distance = 0
        for i in range(len(path) - 1):
            total_distance += distance(path[i], path[i + 1])
        if total_distance < shortest_path:
            shortest_path = total_distance
            shortest_path_points = path

    return shortest_path, shortest_path_points

points = [(0, 0), (1, 2), (3, 4), (5, 6)]
shortest_path, path = tsp(points)
print(Shortest path is:  + str(path))
print(Distance:  + str(shortest_path))
```

This program uses the itertools library to generate all possible permutations of the points, and uses a custom distance function to calculate the distance between each pair of points. It then iterates through each permutation, calculates the total distance of the path, and keeps track of the shortest one.

It's worth noting that this approach can be computationally expensive for large number of points, more efficient algorithm such as Christofides algorithm and Lin-Kernighan algorithm can also be used to solve the TSP problem.
Thanks, cost is of no object in regards to this matter, as I have secured as much funding as needed to solve the problem. Is this the most accurate method for solving the problem?