194690

The 7 is smaller than 8 therefore you can use them on the same row in the tens. This strategy works for 6 and 5 as well. You can put 4 and 3 next to the 7 and 5 either way round in the units to make the largest possible correct numbers on the left hand side. The same strategy works for 1 and 2 on the right hand side. The highest score with digits 1-8 was 127, but a higher score is possible if you throw the dice randomly.The actual highest possible score could be 196 if you threw 6 9s and 2 8s and had 98<99 on both rows.