How to increase the gap between parallel edges, in Graphviz

Question

I am rendering a graph which is written in dot language, using the Neato layout engine in graphviz.

My graph consisting with orthogonal lines and, I am facing a problem of lying the parallel edges too close to each other.

Please refer the following diagram

In above diagram, horizontal parallel edges between node1 and node2 lies too close to each other.

I would be really glad if someone can give me an idea on how to introduce a gap/space in between parallel edges, in order to make the graph looks more clearer.

Following is the dot language code, that I used to render node1 and node2.

digraph G { graph[size="70,20.25"] 
splines=ortho;  

edge[style=solid, penwidth="10",labeldistance="10"]; 
node [style="rounded,filled"];

node1 [ pos = "2369.7957583862712,8520.228273052428!", fontsize=300, shape = box, fixedsize=true, width=20, height=20 ];

node2 [ pos="2314.7097320138455,8503.38134510704!", fontsize=300, shape = box, fixedsize=true, width=21, height=28 ];


node1 -> node2[taillabel="99", headlabel="25" , fontsize=100]; 

node1 -> node2[taillabel="29", headlabel="49" , fontsize=100]; 

node1 -> node2[taillabel="36", headlabel="07" , fontsize=100]; 

node1 -> node2[taillabel="62", headlabel="37" , fontsize=100]; 


node2 -> node1[taillabel="251", headlabel="21" , fontsize=100]; 

node2 -> node1[taillabel="140", headlabel="30" , fontsize=100]; 

node2 -> node1[taillabel="21", headlabel="05" , fontsize=100]; 

node2 -> node1[taillabel="35", headlabel="57" , fontsize=100]; 
}