I'll try to run up a video simulation of that later today.
But, if you don't hear from me ...
At some point the six suns must all align into one unit, as visible from the planet, so that as the planet rotates there is a ‘sunset’ and STARS and the rest of the UNIVERSE comes into view for half a rotation. ......
Your computer sim should start at the point where they all align, then calculate their various orbits so that they will not align again for roughly 2000 years or so.
I’d assume that the planet was orbiting at least one of the stars in the middle or two if it was a binary star with 4 others at various distances outside the gravity well of the first one or two...............