24303

The value of the first card is 5 less than the third, the value of the second card is 3 less than the fourth, the value of the third card is 7 more than the fifth, the value of the fourth card is 2 less than the sixth, the value of the fifth card is 3 less than the last.

Here is a set of possible ratio of the values of the various cards:

1: 10
2: 9
3: 15
4: 12
5: 8
6: 14
7: 11

1: 9
2: 8
3: 14
4: 11
5: 7
6: 13
7: 10

1: 7
2: 10
3: 12
4: 13
5: 5
6: 15
7: 8

We just need to follow the difference in the card value...