You will need a field to use SplitByAttributes ....
You can load this function in the Field Calculator and calculate the grouping in a numeric (long) field.
Python parser!!!
The key is the seq_group(!OBJECTID!, XXXX) line. In the example below, if the objected mod 10 equals 0, the sequential 'cnt' value increases, thereby starting a new group of values.
Give it a shot, then split by attributes on that field
cnt = 0
def seq_group(id, val):
global cnt
if id % val == 0 :
cnt += 1
return cnt
__esri_field_calculator_splitter__
seq_group(!OBJECTID!, 10)
Tested in ArcGIS Pro, should work in ArcMap