The present disclosure includes a drainage catheter assembly (10) comprising:a catheter (12), comprising a flexible, hollow body (20) terminating in a distal end (18) comprising a tapered tip (22) and defining a catheter lumen (21) with a tip outlet (28) in the tapered tip (22);a hollow stiffening rod (14) slidably received within the catheter lumen (21) and defining a stiffening rod lumen (44) marginally greater than 0.455 millimeters (0.018 inches);the catheter lumen (21) having a first portion (34) sized to slidably receive the stiffening rod (44) and a second portion (36), at least including the tip outlet (2), and being marginally greater than 0.455 millimeters (0.018 inches); andat least one fluid port (40) located in the hollow body (20) at the distal end (18).A guide wire insertion kit including the drainage catheter is also provided.