Dice sums

I have 4 (distinct) dice, each with 6 faces labelled 1,2,3,4,5,6 1,2,3,4,5,6 , and I roll all 4 simultaneously. Let d1 d_{1} be the number that comes up on the first dice, d2 d_{2} be the number that comes up on the second dice, d3 d_{3} be the number that comes up on the third dice and d4 d_{4} be the number that comes up on the fourth dice. In how many ways can I roll the 4 dice in this way so that 3 divides d1+d2+d3+d4 d_{1} + d_{2} + d_{3} + d_{4} ?

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