  We evaluated all two-loop conformal integrals of scalar half-BPS six-point
functions in $\mathcal{N} = 4$ SYM restricted to a configuration where all
points lie on a line. Moreover, we also computed some of these integrals in the
kinematical limit where adjacent points become null-separated. Our results can
serve as cross-checks for future works which obtain these integrals for general
kinematics or by different methods such as integrability.
