For the first time in history, this work brings a new kind of bordered magic squares. These are multiples of 4 starting from order 8. These are based on magic rectangles of order 2 × 4. These kinds we call as two digits bordered magic squares. This part, work is for the magic squares of orders 8, 12, 16, 20 and 24. The another part for the orders 28 and 32 click here. Before we proceed further, below are some classifications of bordered magic squares:

Single Digit: Bordered magic squares based on single digit.
Two Digits: Bordered magic squares based on magic rectangles of order 2×4.
Three Digits: Bordered magic squares based on magic squares of order 3:
Four Digits: Bordered magic squares based on magic squares of order 4.
Five Digits: Bordered magic squares based on magic squares of order 5 (appearing soon).
Six Digits: Bordered magic squares based on magic squares of order 6 (appearing soon), etc.

The work can also be accessed at the following link

Inder J. Taneja, Two Digits Bordered Magic Squares Multiples of 4: Orders 8 to 24, Zenodo, April, 26, 2023, pp. 1-43, https://doi.org/10.5281/zenodo.7866956.

See below few examples.