You could manually remove the faces as such:
Coords = [ 0 2 0
0 2 1
0 3 0
0 3 1
0 4 0
0 4 1
1 2 0
1 2 1
1 3 0
1 3 1
1 4 0
1 4 1
2 2 0
2 2 1
2 3 0
2 3 1
2 4 0
2 4 1
3 2 0
3 2 1
3 3 0
3 3 1
3 4 0
3 4 1
4 2 0
4 2 1
4 3 0
4 3 1
4 4 0
4 4 1];
Faces = [ 1 3 4
1 4 2
1 7 8
1 8 2
1 7 9
1 9 3
2 8 10
2 10 4
3 5 6
3 6 4
3 9 10
3 10 4
3 9 11
3 11 5
4 10 12
4 12 6
5 11 12
5 12 6
7 9 10
7 10 8
7 13 14
7 14 8
7 13 15
7 15 9
8 14 16
8 16 10
9 11 12
9 12 10
9 15 16
9 16 10
9 15 17
9 17 11
10 16 18
10 18 12
11 17 18
11 18 12
13 15 16
13 16 14
13 19 20
13 20 14
13 19 21
13 21 15
14 20 22
14 22 16
15 17 18
15 18 16
15 21 22
15 22 16
15 21 23
15 23 17
16 22 24
16 24 18
17 23 24
17 24 18
19 21 22
19 22 20
19 25 26
19 26 20
19 25 27
19 27 21
20 26 28
20 28 22
21 23 24
21 24 22
21 27 28
21 28 22
21 27 29
21 29 23
22 28 30
22 30 24
23 29 30
23 30 24
25 27 28
25 28 26
27 29 30
27 30 28];
fv.faces = Faces;
fv.vertices = Coords;
p = patch(fv,'FaceColor', [0.8 0.8 1.0], ...
'EdgeColor', 'b', ...
'FaceLighting', 'gouraud', ...
'AmbientStrength', 0.15, ...
'FaceAlpha',0.5);
camlight('headlight');
material('dull');
p.Faces([11,12,19,20,27,28,29,30,37,38,45,46,47,48,55,56,63,64,65,66],:)=[];
view(-20,35)
