How to set specific colors and values for a Jet colorbar?

The attached file contains a contour plor code which gets the following colorbar:

I would like to obtain the same contour plot but following these color bar colors and limits:

colorbarlimits=[6.5696e+000

9.4236e+000

1.3517e+001

1.9390e+001

2.7813e+001

3.9896e+001

5.7228e+001

8.2089e+001

1.1775e+002

1.6890e+002

2.4228e+002

3.4753e+002

4.9851e+002

7.1508e+002

1.0257e+003

1.4713e+003];