Generally, no.
Weight isn’t so much a factor in stability so much as projectile length is. But, most usually longer bullets do weigh more.
Longer bullets most always have higher ballistic coefficients and more efficiently retain their velocity vs short stubby bullets. Over extended ranges this allows the longer and initially slower bullet to have less drop than the shorter, initially faster bullet.
Longer bullets require faster twist rates to properly stabilize.
With a 24” bbl you will have maximum powder burn and therefore high velocities with any given load vs a shorter bbl. If your plan is to sling 77gr matchkings, find a 1:7 or 1:8 bbl. Which are both faster than a 1:9 or 1:12 twist barrel if there is any confusion there.