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Add an offset field and calculate it to 12 or -12 (experiment) and make the summary table a new line event table with the offset field option set. The lines will follow the road between the two point measures with a 12 ft offset.
This will offset the line forward or back 12 feet along the road, not left or right, correct? I believe the OP wants a sidewalk line, at least that's what I was picturing.