In my opinion damage dice would refer to the base damage (in this case with a greatsword 2d6) not the total number of dice rolled.
So base mythic vital strike should do x2 for 4d6+12 instead of 2d6+6, not 4d6+24.
I'd essentially consider it an automatic crit, that can still crit.
actually thats exactly what it is.
Extra note: Weapon damage dice for this case is described in the original vital strike feat which this is modifying
When you use the attack action, you can make one attack at your highest base attack bonus that deals additional damage. Roll the weapon’s damage dice for the attack twice and add the results together before adding bonuses from Strength, weapon abilities (such as flaming), precision-based damage, and other damage bonuses. These extra weapon damage dice are not multiplied on a critical hit, but are added to the total.