We can't give snake movement to 3D car

Hello, we've been working on a problem for about 3 weeks and couldn't find a solution. This is the game we want to make

https://www.youtube.com/watch?v=nkUqtcLrmag

However, the problem we face is this;

https://drive.google.com/file/d/1fvqeA-1qYzedIr2JS9mKLT5gXrmFpsTf/view?usp=sharing

As the car rotates, breaks occur, I guess every rig rotates on its own axis.

Solutions we tried;

-increase the polygon of the car -Increasing the number of rigs and putting them in different places -Painting with Weight Painting -Physical body

We rig the car in blender. Blender also does not have a problem with its stretching, but when it comes to Unity, it does so.

The solutions we think are;

-if each rig rotates from the same pivot point the problem can be solved but we don't know how to do it.

-Can it be done with shaders?

We would be very happy if you could help :)

This is the source code we used

void Start() {

     for (int i = 0; i < listBones.Count; i++)
     {
         GameObject newPivot = new GameObject();
         newPivot.transform.parent = transform;
         newPivot.transform.position = pivot.transform.position;
         listPivots.Add(newPivot);

         listBones[i].transform.parent = newPivot.transform;
     }

     listBones.Clear();

     for (int i = 0; i < listPivots.Count; i++)
     {
         listBones.Add(listPivots[i].transform);
     }

     bone1 = listBones[0].gameObject;

 }    

void Move() { if (listBones.Count <= 0) return;

     float mouseX = Input.GetAxis("Mouse X");
     float mouseY = Input.GetAxis("Mouse Y");

     if (Input.touchCount > 0)
     {
         mouseX = Input.touches[0].deltaPosition.x;
         mouseY = Input.touches[0].deltaPosition.y;
     }

     if (Input.GetAxis("Horizontal") != 0)
         listBones[0].Rotate(Vector3.up * 5 * Time.deltaTime * mouseX);

     for (int i = 1; i < listBones.Count; i++)
     {
         curBodyPart = listBones[i];
         prevBodyPart = listBones[i - 1];
         
         dis = Vector3.Distance(prevBodyPart.position, curBodyPart.position);

         Vector3 newPos = prevBodyPart.position;

         newPos.y = listBones[0].position.y;
         newPos.z -= 1f;

         float T = 0;
         T = 45 * Time.deltaTime;

         if (T > 0.3f)
             T = 0.3f;

         //curBodyPart.position = Vector3.Slerp(curBodyPart.position, newPos, T);
         curBodyPart.rotation = Quaternion.Slerp(curBodyPart.rotation, prevBodyPart.rotation, T);
     }

     transform.Translate(-bone1.transform.right * Time.deltaTime * speed);
     //bone1.transform.Translate(-bone1.transform.up * mouseX * Time.deltaTime * speed);
     //transform.Translate(transform.right * mouseX * Time.deltaTime * speed);
     bone1.transform.Rotate(Vector3.up * mouseX * Time.deltaTime * sensitiviy * 15);


     //Limits
     if (transform.position.x >= 3.5f) transform.position = new Vector3(3.5f, transform.position.y, transform.position.z);
     else if (transform.position.x <= -3.5f) transform.position = new Vector3(-3.5f, transform.position.y, transform.position.z);

 }