Smallest Fourth Power expressible as Sum of 4 Fourth Powers

Theorem
$15 \, 527 \, 402 \, 881$ is the smallest fourth power which can be expressed as the sum of $4$ fourth powers:


 * $15 \, 527 \, 402 \, 881 = 353^4 = 30^4 + 120^4 + 272^4 + 315^4$