An isolated and symmetric complex Hadamard matrix found by W. Bruzda in May 2016 [165], [175] reads: $$ A_8^{(0)} = \left[\begin{array}{rrrrrrrr} 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ 1 & -a^2 & -1 & a^2 & a & -a & -a & a \\ 1 & -1 & -1 & -a & 1/a & 1 & -1/a & a \\ 1 & a^2 & -a & a & -1 & a & -a & -a^2 \\ 1 & a & 1/a & -1 & 1 & -1 & -1/a & -a \\ 1 & -a & 1 & a & -1 & 1/a & -1/a & -1 \\ 1 & -a & -1/a & -a & -1/a & -1/a & 1 & -a \\ 1 & a & a & -a^2 & -a & -1 & -a & a^2 \end{array}\right]\quad : \quad a = \frac{1}{3} \mp i \frac{2\sqrt{2}}{3}. $$