Use collections.defaultdict(list) to store your data:
import arcpy, collections
fc = r'C:\data.gdb\somefeatureclass' #Or shapefile
fields = ['Road_Name','X','Y']
d = collections.defaultdict(list)
with arcpy.da.SearchCursor(fc,fields) as cursor:
for roadname,x,y in cursor:
d[roadname].append([x,y])
Key will be roadname and values will be a list of lists of coordinate pairs. For example if you do:
d['Washington street']
you will get:
[[1,2],[1,4],...]
and the 21 remaining coordinate pairs.
Your next step will perhaps be to iterate over keys and values, see this question: Iterating over key and value of defaultdict dictionaries