Re-enactors generally just mount a spearhead on any old pole and claim it is a spear. But in reality to be a viable weapon a spear needs to be well balanced and is generally tapered. The balance point depends greatly on the weight and length of the iron head, and to a lesser degree on the weight and shape of the butt spike and tapering of the shaft. Needless to say all my weapons are well balanced and a joy to use.
You can ride carrying a 12 feet spear in one hand but it is unwieldy and easier to use in two hands. This would be true for what Paul would define as a xyston or a kontos/contus. Spear heads generally have a 22-25mm internal diameter which could suggest that a kontos head with a wide shaft of 30-40 mm diameter does not exist. But of course the spearhead may not give an indication of the width of the shaft especially if the shaft is tapered. So I cannot disprove or prove Paul's belief that the kontos is thicker or heavier than the xyston. But 12 feet is very long for a one handed spear!