  Michael Knapp, in a previous work, conjectured that every additive sextic
form over $\mathbb{Q}_2(\sqrt{-1})$ and $\mathbb{Q}_2(\sqrt{-5})$ in seven
variables has a nontrivial zero. In this paper, we show that this conjecture is
true, establishing that $\Gamma^*(6, \mathbb{Q}_2(\sqrt{-1})) = \Gamma^*(6,
\mathbb{Q}_2(\sqrt{-5})) = 7 $.
