Arithmetically Gorenstein Calabi--Yau threefolds in $\mathbb{P}^{7}$

We present a list of arithmetically Gorenstein Calabi--Yau threefolds in $\mathbb{P}^{7}$ and give evidence that this is a complete list. In particular we construct three new families of arithmetically Gorenstein Calabi--Yau threefolds in $\mathbb{P}^{7}$ for which no mirror construction is known