I have some triangles ABC with vertices

1) **A(-13,-5,5), B(-5,11,-11), C(-3,-9,15)** has centre of out circle is **(3, 3, 3)**, orthocentre **(-27, -9, 3)** and centroid **(-7, -1, -3). **

2)** A(-6,6,-1), B(-5,-1,-3), C(2,10,7) **has centre of out circle is** ****(1, 2, 3)**, orthocentre **(-11, 11, -3)** and centroid **(-3, 5, 1). **

How can I write a program to find a triangle with integer coordinates of vertices, centroid, orthocenter and center of the triangle in geometry 3D?