You could possibly try to reduce the axis Velocity in Motor Tuning and then reduce the Kernel speed - bit at a time, trial and error.

Try a much improved (lean and faster) PC.

Perhaps download and install the current version of Mach3;  https://www.machsupport.com/wp-content/uploads/2013/04/Mach3Version3.043.exe
(There were a number of issues with version .066 and it was withdrawn)
Make a backup of you existing Mach3 folder before installing the current version over the top of your existing version.

I don't think the Mach3 Parallel Port driver was ever intended to support a 13000 units / min feed-rate so the only real solution is an external motion controller (13000mm/min is something I have never tried).

Tweakie.

I tried the cersiyon, you mentioned, it did not change. I increased the kernel speed from 25000 to 40000.  I bought it for 60,000 and the computer froze.