In every age where people used pikes made out of wood, the max has always been around ~6m.
Oda Nobunaga's Nagae Yari troops who employed the longest pikes in Medieval Japan maxed at a little under 6m. Pikemen in the west maxed at about 6m. The Polish Winged Hussars used lances in the ~5m range only because it was constructed hollow.
So by trial and error, ~6m is the upper bound of an effective pike.
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