Impossible.
Each of those numbers (2, 6, 10, 14, 18, 22, 26, 30, 34, 38) is of the form 4n+2 where n is an integer.
Any even number of those numbers will be of the form 4n+2 + 4m+2 = 4n + 4m + 4 which is always divisible by 4. (n is an integer, m is another integer, exact values of m and n don't matter)
Any odd number of those numbers will be of the form 4n+2 + 2(4m+2) = 4n + 8m +4 +2, which is always 2 off from being divisible by 4.
100 is divisible by 4, so you can only make 100 with an even number of those numbers.
5 is odd, so you can't make 100 with 5 of those numbers.