Do or For cycle to have more than ListLinePlot

I have a generic function:
f[a_,b_]:=Module[{e,f,g,h}]

which returns the scalar g and the list h in the form:
{g,h}.

Because of RandomInteger inside the Module block, I have several results for the same function f[a_,b_].

My final aim is to have a ListLinePlot of the different (let’s assume 10) h output lists on the same graphic.

Instead of launching:

f1=f[a,b];
f2=f[a,b];
f3=f[a,b];
...
f10=f[a,b];

and after that using:
ListLinePlot[{f1[a,b][[2]],f2[a,b][[2]], ... f10[a,b][[2]]}]

I was looking for something like:
ListLinePlot[Table[f[a,b][i][[2]],{i,1,10}]

even though there isn’t any i dependence.

Any help?

ClearAll@f
f[a_, b_] := {a, RandomInteger[{1, 100}, 10]}

ListLinePlot[Table[f[a, b][[2]], 10]]