In this 4x4 grid, each of the capital letters in bold represents a different base ten digit from 0 to 9, such that the sum of each of the four columns as well as the sum of each of the four rows is ET.
E L M S
R E I N
A N T I
S T E P
Determine the respective minimum value and the maximum value of ET.
Note: ET is equal to 10*E+ T.