The focus of the parabola y² = 4x + 16 is the centre of the circle C of radius 5. If the values of $\mathrm{\lambda }$, for which C passes through the point of intersection of the lines 3x – y = 0 and x + $\mathrm{\lambda }$y = 4, are $\mathrm{\lambda }$₁ and $\mathrm{\lambda }$₂, $\mathrm{\lambda }$₁< $\mathrm{\lambda }$₂, then 12$\mathrm{\lambda }$₁+ 29$\mathrm{\lambda }$₂ is equal to _______.