A family of complex Hadamard matrices obtained from complex Golay sequence [19] reads $$G_{10}^{(1)}(a)=\left[\begin{array}{rrrrrrrrrr} 1 & a & a^2 & ia^3 & -ia^4 & 1 & ia & -ia^2 & -a^3 & ia^4\\ -ia^4 & 1 & a & a^2 & ia^3 & ia^4 & 1 & ia & -ia^2 & -a^3\\ ia^3 & -ia^4 & 1 & a & a^2 & -a^3 & ia^4 & 1 & ia & -ia^2\\ a^2 & ia^3 & -ia^4 & 1 & a & -ia^2 & -a^3 & ia^4 & 1 & ia\\ a & a^2 & ia^3 & -ia^4 & 1 & ia & -ia^2 & -a^3 & ia^4 & 1\\ 1 & -ib^4 & -b^3 & ib^2 & -ib & -1 & -ib^4 & ib^3 & -b^2 & -b\\ -ib & 1 & -ib^4 & -b^3 & ib^2 & -b & -1 & -ib^4 & ib^3 & -b^2\\ ib^2 & -ib & 1 & -ib^4 & -b^3 & -b^2 & -b & -1 & -ib^4 & ib^3\\ -b^3 & ib^2 & -ib & 1 & -ib^4 & ib^3 & -b^2 & -b & -1 & -ib^4\\ -ib^4 & -b^3 & ib^2 & -ib & 1 & -ib^4 & ib^3 & -b^2 & -b & -1 \end{array}\right],$$ where $a$ is a free phase and $b=1/a$ is complex conjugate of $a$.