A family of complex Hadamard matrices found by F. Szöllősi [25] $$H_{12}^{(7)}(a,b,c,d,e,f,g)=H_{12}\circ{\rm EXP}\left(i R_{H_{12}^{(7)}}(a,b,c,d,e,f,g)\right),$$ where $$H_{12}=\left[\begin{array}{rrrrrrrrrrrr} 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1\\ 1 & 1 & 1 & 1 & 1 & 1 & -1 & -1 & -1 & -1 & -1 & -1\\ 1 & -1 & 1 & 1 & -1 & -1 & 1 & 1 & -1 & 1 & -1 & -1\\ 1 & -1 & 1 & -1 & 1 & -1 & -1 & 1 & 1 & -1 & 1 & -1\\ 1 & -1 & -1 & 1 & -1 & 1 & -1 & 1 & 1 & -1 & -1 & 1\\ 1 & 1 & 1 & -1 & -1 & -1 & 1 & -1 & 1 & -1 & -1 & 1\\ 1 & 1 & -1 & -1 & 1 & -1 & -1 & 1 & -1 & 1 & -1 & 1\\ 1 & 1 & -1 & 1 & -1 & -1 & -1 & -1 & 1 & 1 & 1 & -1\\ 1 & -1 & 1 & -1 & -1 & 1 & -1 & -1 & -1 & 1 & 1 & 1\\ 1 & 1 & -1 & -1 & -1 & 1 & 1 & 1 & -1 & -1 & 1 & -1\\ 1 & -1 & -1 & -1 & 1 & 1 & 1 & -1 & 1 & 1 & -1 & -1\\ 1 & -1 & -1 & 1 & 1 & -1 & 1 & -1 & -1 & -1 & 1 & 1 \end{array}\right]$$ and $$\begin{aligned} R_{H_{12}^{(7)}} & (a,b,c,d,e,f,g) =\\ &\left[\begin{array}{rrrrrrrrrrrr} \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet\\ \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet\\ \bullet & \bullet & a & a & a & a & a+g & a+g & a+e+g & a+e+g & a+g & a+g\\ \bullet & \bullet & a+b & a+b & a+c & a+c & a+d+g & a+d+g & a+e+g & a+e+g & a+f+g & a+f+g\\ \bullet & \bullet & a+b & a+b & a+c & a+c & a+d+g & a+d+g & a+e+g & a+e+g & a+f+g & a+f+g\\ \bullet & \bullet & b & b & \bullet & \bullet & d+g & d+g & e+g & e+g & f+g & f+g\\ \bullet & \bullet & \bullet & \bullet & c & c & d+g & d+g & e+g & e+g & f+g & f+g\\ \bullet & \bullet & b & b & \bullet & \bullet & g & g & g & g & f+g & f+g\\ \bullet & \bullet & a+b & a+b & a+c & a+c & a+g & a+g & a+e+g & a+e+g & a+g & a+g\\ \bullet & \bullet & \bullet & \bullet & c & c & g & g & g & g & f+g & f+g\\ \bullet & \bullet & a & a & a & a & a+d+g & a+d+g & a+g & a+g & a+g & a+g\\ \bullet & \bullet & a+b & a+b & a+c & a+c & a+d+g & a+d+g & a+g & a+g & a+g & a+g \end{array}\right] \end{aligned}.$$