Batch compositions containing pre-reacted inorganic spheroidal particles, small amount of fine inorganic particles (“fines”), and an extremely large amount of liquid vehicle. The batch compositions contain pre-reacted inorganic particles having a particle size distribution with 20 μm≤D50≤100 μm, D90≤100 μm, and D5≥10 μm; less than 20 wt % of fine inorganic particles (fines) whose particle distribution(s) have a median diameter of less than 5 μm; and a liquid vehicle in a weight percent (LV %≥28%) by super-addition to all inorganic particles in the batch composition. Fast extruding batch compositions having extremely high Tau Y/Beta ratios are provided. Green bodies, such as green honeycomb bodies and methods of manufacturing green honeycomb bodies are provided, as are other aspects.