Solution #2, 4x4 magic square of squares, S = 130(k²+281)

(3k+154)²

(6k+13)²

(9k-78)²

(2k+81)²

(2k-111)²

(9k+18)²

(6k+77)²

(3k-134)²

(6k-13)²

(3k-154)²

(2k-81)²

(9k+78)²

(9k-18)²

(2k+111)²

(3k+134)²

(6k-77)²

Solution #3, 4x4 magic square of squares, S = 125(k²+373)

(4k+165)²

(6k+2)²

(8k-114)²

(3k+80)²

(3k-136)²

(8k+30)²

(6k+110)²

(4k-123)²

(6k-2)²

(4k-165)²

(3k-80)²

(8k+114)²

(8k-30)²

(3k+136)²

(4k+123)²

(6k-110)²

Solution #4, 4x4 magic square of squares, S = 130(2k²+53)

(3k+70)²

(5k+33)²

(15k-26)²

(k+15)²

(k-30)²

(15k+1)²

(5k+42)²

(3k-65)²

(5k-33)²

(3k-70)²

(k-15)²

(15k+26)²

(15k-1)²

(k+30)²

(3k+65)²

(5k-42)²

Solution #5, 4x4 magic square of squares, S = 145(k²+74)

(4k+80)²

(5k+36)²

(10k-53)²

(2k+15)²

(2k-55)²

(10k+3)²

(5k+64)²

(4k-60)²

(5k-36)²

(4k-80)²

(2k-15)²

(10k+53)²

(10k-3)²

(2k+55)²

(4k+60)²

(5k-64)²

Solution #6, 4x4 magic square of squares, S = 340(k²+29)

(5k+81)²

(9k+15)²

(15k-43)²

(3k+35)²

(3k-55)²

(15k+7)²

(9k+45)²

(5k-69)²

(9k-15)²

(5k-81)²

(3k-35)²

(15k+43)²

(15k-7)²

(3k+55)²

(5k+69)²

(9k-45)²

Solution #7, 4x4 magic square of squares, S = 290(2k²+37)

(7k+81)²

(9k+42)²

(21k-47)²

(3k+14)²

(3k-49)²

(21k+2)²

(9k+63)²

(7k-66)²

(9k-42)²

(7k-81)²

(3k-14)²

(21k+47)²

(21k-2)²

(3k+49)²

(7k+66)²

(9k-63)²

Solution #8, 4x4 magic square of squares, S = 130(k²+281)

(2k+165)²

(5k+34)²

(10k-57)²

(k+70)²

(k-90)²

(10k+7)²

(5k+66)²

(2k-155)²

(5k-34)²

(2k-165)²

(k-70)²

(10k+57)²

(10k-7)²

(k+90)²

(2k+155)²

(5k-66)²

Solution #9, 4x4 magic square of squares, S = 221(k²+85)

(3k+112)²

(8k+6)²

(12k-43)²

(2k+66)²

(2k-78)²

(12k+11)²

(8k+42)²

(3k-104)²

(8k-6)²

(3k-112)²

(2k-66)²

(12k+43)²

(12k-11)²

(2k+78)²

(3k+104)²

(8k-42)²

Solution #10, 4x4 magic square of squares, S = 481(k²+50)

(3k+128)²

(12k+4)²

(18k-33)²

(2k+81)²

(2k-87)²

(18k+9)²

(12k+32)²

(3k-124)²

(12k-4)²

(3k-128)²

(2k-81)²

(18k+33)²

(18k-9)²

(2k+87)²

(3k+124)²

(12k-32)²

Solution #11, 4x4 magic square of squares, S = 325(k²+149)

(8k+162)²

(9k+24)²

(12k-143)²

(6k+34)²

(6k-146)²

(12k+17)²

(9k+144)²

(8k-78)²

(9k-24)²

(8k-162)²

(6k-34)²

(12k+143)²

(12k-17)²

(6k+146)²

(8k+78)²

(9k-144)²