What does MP mean on an oversize permit?

Milepost. A milepost along the highway: MP 136.5 is mile 136.5 from where the state starts counting.

Also printed as MM, MILEPOST.

On real permits

PrintedMeansState
MP 414 Dalton HighwayMilepost 414 on the Dalton Highway, used as the destination on the state's sampleAlaska
MP 133.98Milepost 133.98. ADOT's rules write 'MP = Milepost' and mark curfew zones by milepost.Arizona
MP CRITTENDEN 284.69Milepost 284.69 in Crittenden County, here at the Tennessee lineArkansas
I-84, MP 26 to MP 59Interstate 84 from milepost 26 to milepost 59, the Boise valley stretch in ITD's rush-hour ruleIdaho
MP 2.4Milepost 2.4Montana
I-5 (MP: 136.515 to 154.14)Interstate 5, from mile post 136.515 to mile post 154.14Washington
milepost 26.580A point along the highway, used to place closures and restrictionsWyoming

Decode a whole route line