Recently I came across the following pencils of (complex projective) plane curves: $$ \{x^{3n}+y^{3n}+z^{3n} + tx^ny^nz^n=0\mid t\in \mathbb{P}^1\} $$ and $$ \{(x^{n}+y^{n}+z^{n})^3 + tx^ny^nz^n=0\mid t\in \mathbb{P}^1\} $$ for a natural number $n$.
Are these pencils well-known in literature? I could not find any reference besides Harui's paper Automorphism groups of smooth plane curves.