The Secretary of State may, at the request of a licensee, remove the coded notation from the license of a person convicted for a first operating-under-the-influence offense as defined in section 2453, subsection 2 after 6 years from the date of the conviction if the person has not been convicted or adjudicated of the offense of speeding more than 15 miles per hour over the maximum speed limit or any offense described under section 2551-A, subsection 1, paragraph A or had a license suspended or revoked within that 6-year period.’