Describe the nonzero integer solutions to the equation $a^3 + b^3 + c^3 + d^3 + e^3 + f^3 + g^3 =0$ Can someone describe all the integer solutions to the above equation such that $abcdefg\neq 0$ ?

Regarding equation,  (a^3 + b^3 + c^3 + d^3 + e^3 + f^3 = g^3 )
The above equation has parametrization given below:
(a,b,c,d,e,f)^3=
[(6k^2+12k-18),(k^2-2k+49),(5k^2+38k+5),(8k^2+16k-24),
       (7k^2-14k-41),(10k^2+20k-30)]^3 = [(13k^2+22k+13)]^3= (g)^3
For k=2 we have:
(30,49,101,40,-41,50)^3=(109)^3
