The state of Oregon currently charges a weight-mile tax on vehicles with a gross weight of over 26,000 pounds. Tax rates per mile vary according to the gross weight of the vehicle. Unlike other states which charge a weight-mile tax, Oregon does not collect diesel taxes on heavy trucks.he state of New Mexico charges a weight-distance tax on vehicles with a declared gross vehicle weight of greater than 26,000 pounds. The tax is based on the weight of the vehicle and the number of miles traveled on New Mexico roads. New Mexico utilizes graduated tax rates based on the declared gross vehicle weight.