A honeycomb extrusion die (120) includes a die body (302) including an inlet face (306) and an exit face. The die body (302) has slot inlets (309) and a plurality of pins (320, 500) disposed between the slot inlets (309) and the exit face. The plurality of pins (320, 500) include side surfaces (322, 500B) configured to define a matrix of intersecting slots (324), wherein the matrix of intersecting slots (324) has slot exit (509) widths at the exit face. Divots (526) extend into a plurality of the side surfaces (322, 500B) between the slot inlets (309) and the exit face. Each individual divot (526) has a divot depth (D55) extending into a side surface (500A, 500B, 502A, 502B) of the side surfaces (322, 500B). A ratio between a slot exit width (W53) W53 of an individual slot (324) and the divot depth (D55) of an individual divot (526) extending into a side surface (500A, 500B, 502A, 502B) of the individual slot (324) is greater than 1.2. Methods of forming honeycomb bodies with honeycomb structures are provided, as are other aspects.