JEE Main PAPER - 1

Let $a_1, a_2, a_3, \dots, a_{49}$   be in A.P. such that $\sum_{k=0}^{12} a_{4k+1} = 416$   and $a_9 + a_{43} = 66$  . If $a_1^2 + a_2^2 + \dots + a_{17}^2 = 140 m$  , then m is equal to: