AMC 10/12A Spring 2021 (Problem 14)

All the roots of the polynomial

z^6-10z^5+Az^4+Bz^3+Cz^2+Dz+16

are positive integers, possibly repeated. What is the value of

B

\text{(A)}\;-88

\text{(B)}\;-80

\text{(C)}\;-64

\text{(D)}\;-41

\text{(E)}\;-40