Which is the first series of 10 numbers where 1st and 3rd numbers can't be divided by 3, with no prime number?

A series of ten numbers refers to one whose first final digit is '1' and the final digit of the last is '0". The particular series of ten numbers I refer to are the ones where the numbers, whose final digit are '1' and '3', are not wholly divisible by 3 for e.g for 131 to 140, 131 and 133 are not wholly divisible by three. And in this set 131, 137 and 139 are prime. I am looking for the first such set with not a single prime number.