1988 Ford LTD Crown Vic no spark

In the last 2 weeks our car has an intermittent problem of not starting. I have traced it down to no spark. I have changed the rotor and distributor
cap. I have replaced the spark module with a used one. Once the car sits for a while it will start and run good. When you shut it off after its warm it will not start. Its a 5.8L with 205000km. I am wondering about the pickup coil?
Add pictures here
<% if( /^image/.test(type) ){ %>
<% } %>
Add image file

Motorsforum.com is a website by car enthusiasts for car enthusiasts. It is not affiliated with any of the car or spare part manufacturers or car dealers discussed here. All logos and trade names are the property of their respective owners.