2018 BIMC keystage2-EMIC individual Question 7

Given that $\overline{BIMC}+\overline{BI}+\overline{MC}+B+I+M+C-1=2018$, where $B$, $I$, $M$ and $C$ are distinct digits, what is the largest possible value of the $4$-digit number $\overline{BIMC}$?