627 bytes of VB.NET 9 (without counting new lines)
Dim a As New List(Of Int32)
Dim b=InputBox("").Split(" ".ToCharArray)
For Each d In b
a.Add(Int32.Parse(d))
Next
Dim e=New String(){"|___|/","| | |","/__ /|","__"}
Dim f=a.Min
Dim g=a.Max
Dim h=a.Count
Dim i As New List(Of String)
Dim j=(If(g>0,g,0)+If(f<0,-f,0))*2+1
For d=0To j
i.Add(Space(h*6))
Next
For d=f To g
If (d<>0) Then
For k=0To 3
Dim l=i(j)
Dim m=0
While m0And a(m)>=d) Then
Dim n=m*4+If(k>1,(k-2)*2+1,0)
l=l.Substring(0,n)&e(k)&l.Substring(n+e(k).Length)
i(j)=l
endif
m+=1
End While
j-=1
Next
j+=2
EndIf
Next
For Each d In i
Console.WriteLine(d)
Next
