The distinct letters in the word MATHSBOMBE are each associated with a different single digit from 1 to 8, such that a following sum is valid:

The digits represented by dots can also only be in the range 1 to 8. What is the greatest possible value of the integer corresponding to the word MATHSBOMBE?

Please enter the 10 digit integer as your solution.

Mathsbombe Competition 2016 is organised by the The Department of Mathematics at The University of Manchester.
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