Any chance to compute system of Diophantine exquations in 26 variables in GP?

[hermann@stamm-wilbrandt.de]

I used this system of Diophantine equations:
https://en.wikipedia.org/wiki/Formula_for_primes#Formula_based_on_a_system_of_Diophantine_equations


I created short wolframscript from it:

pi@raspberrypi5:~ $ cat prime.wl
Solve[k+2==11&&
w*z+h+j-q==0&&
(g*k+2*g+k+1)*(h+j)+h-z==0&&
16*(k+1)^3*(k+2)*(n+1)^2+1-f^2==0&&
2*n+p+q+z-e==0&&
e^3*(e+2)*(a+1)^2+1-o^2==0&&
(a^2-1)*y^2+1-x^2==0&&
16*r^2*y^4*(a^2-1)+1-u^2==0&&
n+l+v-y==0&&
(a^2-1)*l^2+1-m^2==0&&
a*i+k+1-l-i==0&&
((a+u^2*(u^2-a))^2-1)*(n+4*d*y)^2+1-(x+c*u)^2==0&&
p+l*(a-n-1)+b*(2*a*n+2*a-n^2-2*n-2)-m==0&&
q+y*(a-p-1)+s*(2*a*p+2*a-p^2-2*p-2)-x==0&&
z+p*l*(a-p)+t*(2*a*p-p^2-1)-p*m==0,
{a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z},
Integers]
pi@raspberrypi5:~ $


And did run on my overclocked with 3GHz Raspberry Pi5 last night.
I now stopped it after 10.5h of computation.

The first line states that I am interested to find integer variable 
values for variables a-z for prime 11. Can this system of Diophantine 
equations be computed with PARI/GP (I have much more powerful AMD 7950X 
CPU for running GP) in reasonable amount of time (perhaps some CPU 
days)?


Regards,

Hermann.