Amicable Quadruple

An amicable quadruple as a Quadruple $(a, b, c, d)$ such that

$$\sigma(a)=\sigma(b)=\sigma(c)=\sigma(d)=a+b+c+d,$$

where $\sigma(n)$ is the Divisor Function.

References

Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 59, 1994.