Artin twin primes

We say that a prime number $p$ is an $\textit{Artin prime}$ for $g$ if mod generates the group $(\mathbb{Z}/p\mathbb{Z})^{\times}$. For appropriately chosen integers $d$ and $g$, we present conjecture asymptotic $\pi_{d,g}(x)$ of primes $p \leq x$ such both $p+d$ are Artin $g$. In particular, identify class pairs $(d,g)$ which $\pi_{d,g}(x) =0$. Our results suggest distribution pairs, amongst ordinary largely governed by Poisson binomial distribution.