Looking at j1sys ebay page
ICSP20A - Supports 18 or 20 pin PIC Microcontrollers.
The standard jumpers are configured for Group D, F, and G .300in DIP chips.
* Group D - 18 pin VPP=4, VDD=14, VSS=5, PGD=13, PGC=12
PIC16F54, PIC16F627A, PIC16F628A, PIC16F648A, PIC16F716, PIC16F818, PIC16F819, PIC16F84A, PIC16F87, PIC16F88, PIC16HV540, PIC18F1220, PIC18F1230, PIC18F1320, PIC18F1330, PIC16C554, PIC16C558, PIC16C56A, PIC16C58B, PIC16C620A, PIC16C621A, PIC16C622A, PIC16C717, PIC16F54, PIC16F627A, PIC16F628A, PIC16F648A, PIC16F716, PIC16F818, PIC16F819, PIC16F84A, PIC16F87, PIC16F88, PIC16HV540, PIC18F1220, PIC18F1230, PIC18F1320, PIC18F1330
it look like that you will need the ICSP20A - Supports 18 or 20 pin PIC Microcontrollers.