The present disclosure provides a strong, flexible catheter shaft for use in a catheter system. The flexible catheter shaft includes a braided polyimide tube including one or more outer layers of material of varying flexibility. The flexible catheter shaft provides a shaft having sufficient stiffness and kink resistance to allow an operator to advance an electrode basket connected to the flexible catheter shaft through a guide catheter to a target ablation site without causing vessel trauma. The distal tip of the flexible catheter shaft is designed to have sufficient flexibility to reduce any risk of kicking out a guide catheter when tracking the electrode basket around turns into side branches or bifurcations in the vasculature of a patient and includes a distal spring coil.