Ccan you figure it out?

Algebra Level 3

Suppose that all the terms of an arithmetic progression (A.P.) are natural numbers. If the ratio of the sum of the first seven terms to the sum of the first eleven terms is 6:11 and the seventh terms lies in between 130 and 140, then the common difference of this A.P. is (assume it to be an integer)

This is a problem from JEE ADVANCED 2015 paper 2.
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