Hi Tobias,
I think the issue is the sequence of your points
The FullEdge_Base has the sequence : {SegPointF,SegPointF,SegPointF......
This means that the first triangles constructed would be using the points:
..Layer_Pelvic5.BasegSegPosterior.Layer5.VolumePointsCenter, SegPointF,SegPointF
And this is not three individual frames , but only two, because SegPointF are repeated.
If instead your new layer would have the sequence
SegPointC,SegPointD,SegPointE,SegPointF,SegPointC,SegPointD,SegPointE,SegPointF,
Then I think it would have loaded without an error.
As I recall there are no special treatment for the first/last layer allowing these to repeat points. To convince myself this is correct I have made this small sample model 
Main = {
AnyMechStudy Study = {
Gravity = {0,0,0};
nStep = 11;
AnyVar H = 4; ///< box height
AnyVar W = 2; ///< box width
AnyVec3 T = {0,0,0}; // Arbitrary translation
AnyFixedRefFrame GlobalRef = {
AnyRefNode n1_0 = { sRel=..T+{..H,..W,0}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n2_0= { sRel=..T+{..H, 0,0}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n3_0 = { sRel=..T+{0 , 0,0}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n4_0 = { sRel=..T+{0 ,..W,0}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n1_1 = { sRel=..T+{..H,..W,0.25}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n2_1 = { sRel=..T+{..H, 0,0.25}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n3_1 = { sRel=..T+{0 , 0,0.25}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n4_1 = { sRel=..T+{0 ,..W,0.25}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n1_2 = { sRel=..T+{..H,..W,0.5}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n2_2 = { sRel=..T+{..H, 0,0.5}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n3_2 = { sRel=..T+{0 , 0,0.5}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n4_2 = { sRel=..T+{0 ,..W,0.5}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n1_3 = { sRel=..T+{..H,..W,0.75}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n2_3 = { sRel=..T+{..H, 0,0.75}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n3_3 = { sRel=..T+{0 , 0,0.75}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n4_3 = { sRel=..T+{0 ,..W,0.75}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n1_4 = { sRel=..T+{..H,..W,1}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n2_4 = { sRel=..T+{..H, 0,1}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n3_4 = { sRel=..T+{0 , 0,1}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode n4_4 = { sRel=..T+{0 ,..W,1}; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode nMid_0 = { sRel= (.n1_0.sRel+.n2_0.sRel+.n3_0.sRel+.n4_0.sRel)/4.0; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode nMid_1 = { sRel= (.n1_1.sRel+.n2_1.sRel+.n3_1.sRel+.n4_1.sRel)/4.0; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode nMid_2 = { sRel= (.n1_2.sRel+.n2_2.sRel+.n3_2.sRel+.n4_2.sRel)/4.0; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode nMid_3 = { sRel= (.n1_3.sRel+.n2_3.sRel+.n3_3.sRel+.n4_3.sRel)/4.0; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
AnyRefNode nMid_4 = { sRel= (.n1_4.sRel+.n2_4.sRel+.n3_4.sRel+.n4_4.sRel)/4.0; viewRefFrame={Visible=On; ScaleXYZ={1,1,1}*0.11;}; };
viewNodes.Visible = On;
viewRefFrame.Visible = On;
};
/// This kin. measure uses the derived class, AnyKinVolumeCylMesh
/// which enable to enter the box in a simpler format as cylindrical mesh.
AnyKinVolumeCylMesh VolMeasure_by_cylindrical_mesh = {
CylMesh = {
{&.GlobalRef.nMid_4, &.GlobalRef.nMid_4, &.GlobalRef.nMid_4, &.GlobalRef.nMid_4},
{&.GlobalRef.n1_4, &.GlobalRef.n2_4, &.GlobalRef.n3_4, &.GlobalRef.n4_4},
{&.GlobalRef.n1_3, &.GlobalRef.n2_3, &.GlobalRef.n3_3, &.GlobalRef.n4_3},
{&.GlobalRef.nMid_3, &.GlobalRef.nMid_3, &.GlobalRef.nMid_3, &.GlobalRef.nMid_3},
// {&.GlobalRef.nMid_2, &.GlobalRef.nMid_2, &.GlobalRef.nMid_2, &.GlobalRef.nMid_2}, //not allowed mesh can not be created in meaningful way
{&.GlobalRef.n1_2, &.GlobalRef.n2_2, &.GlobalRef.n3_2, &.GlobalRef.n4_2},
{&.GlobalRef.n1_1, &.GlobalRef.n2_1, &.GlobalRef.n3_1, &.GlobalRef.n4_1},
{&.GlobalRef.nMid_1, &.GlobalRef.nMid_1, &.GlobalRef.nMid_1, &.GlobalRef.nMid_1},
};
viewKinMeasure.Visible = On;
};
}; // End of Main.Study
};
This will create small mesh model,
There is one line out commented if you enable this line it will give the same error as you have seen, but this is also correct, it would try to create triangles based on two points which would not be possible.
Once you get the model to load you can inspect the CylMesh object in the ModelTree it will show the topology of the mesh.
Hope it helps
Best regards
Søren