We are interested in collecting the sets of six prime numbers, that having a starting prime p, the following values are also primes forming the sextuplet ```[p, p + 4, p + 6, p + 10, p + 12, p + 16]```
The first sextuplet that we find is ```[7, 11, 13, 17, 19, 23]```
The second one is ```[97, 101, 103, 107, 109, 113]```
Given a number ```sum_limit```, you should give the first sextuplet which sum (of its six primes) surpasses the sum_limit value.
```python
find_primes_sextuplet(70) == [7, 11, 13, 17, 19, 23]
find_primes_sextuplet(600) == [97, 101, 103, 107, 109, 113]
```
Features of the tests:
```
Number Of Tests = 18
10000 < sum_limit < 29700000
```
If you have solved this kata perhaps you will find easy to solve this one:
https://www.codewars.com/kata/primes-with-two-even-and-double-even-jumps/
Enjoy it!!
li = [7,97,16057,19417,43777,1091257,1615837,1954357,
     2822707,2839927,3243337,3400207,6005887,6503587,
     7187767,7641367,8061997,8741137,10526557,11086837,
     11664547,14520547,14812867,14834707,14856757,
     16025827,16094707,18916477,19197247]
sequences = [[i+j for j in [0,4,6,10,12,16]] for i in li]
find_primes_sextuplet=lambda s:next(i for i in sequences if sum(i)>s)
li = [7,97,16057,19417,43777,1091257,1615837,1954357,
     2822707,2839927,3243337,3400207,6005887,6503587,
     7187767,7641367,8061997,8741137,10526557,11086837,
     11664547,14520547,14812867,14834707,14856757,
     16025827,16094707,18916477,19197247]
sequences = [[i+j for j in [0,4,6,10,12,16]] for i in li]
find_primes_sextuplet=lambda s:next(i for i in sequences if sum(i)>s)