The number pattern between these numbers is 3, 10, 14, 16, 18, 21, 27, 31.

The pattern in the numbers is not a typical increasing, decreasing, or common difference pattern. However, it does seem like each containing 7 numbers, every fourth number is a multiple of either 2 or 3 with balance distributed randomly and the seventh number is a random number less than the maximum of the first six. This pattern seems random as it doesn't follow any mathematical sequence or common difference in between the numbers. It could be a code or cipher, but based on the information given, the exact code or cipher isn't determinable. If you share more about the context where these numbers are used or the goal you want to achieve, I may provide a more accurate response.