We present results from direct numerical simulations (DNS) of laminar lifted two-dimensional (2D) n-dodecane flames at thermochemical conditions corresponding to the Engine Combustion Network (ECN) target flame known as Spray A, which canonically represents conditions in a diesel engine. Simulations were performed for three distinct inlet velocities. Results indicate that the flames present a multibrachial structure. The number of branches depends on the inlet velocity and changes from five branches for the 2.5 m/s case to four branches for the 0.6 m/s case. For the 2.5 m/s case the flame consists of a typical triple flame (consisting of a diffusion, a rich premixed, and a lean premixed flames) with additional upstream low temperature chemistry (LTC) and high temperature chemistry (HTC) branches. With decreasing inlet velocity, the triple flame moves closer to the upstream HTC branch, ultimately overtaking it for an inlet velocity of 0.6 m/s. This indicates that the triple flame propagation velocity is O(1 m/s). These results provide an important baseline to compare against a 3D turbulent Spray A flame and investigate how turbulence changes the flame structure and stabilisation mechanism.