HK-PC 2019

Is it is possible to choose 24 distinct points in the space such that no three of them lie on the same line and choose 2019 distinct planes in a way that each plane passes through at least 3 of the chosen points and each triple belongs to one of the chosen planes?

If $57a + 88b + 125c \geq 1148$ , where $a,b,c > 0$ , what is the minimum value of $$a^3 + b^3 + c^3 + 5a^2 + 5b^2 + 5c^2?$$