  We investigate several types of linear codes constructed from two families
$\tilde{\mathcal S}_q$ and $\tilde{\mathcal R}_q$ of maximal curves over finite
fields recently constructed by Skabelund as cyclic covers of the Suzuki and Ree
curves. Plane models for such curves are provided, and the Weierstrass
semigroup $H(P)$ at an $\mathbb{F}_{q}$-rational point $P$ is shown to be
symmetric.
