In pressure group k what would your pressure group be after a 34 minute surface interval using PADI?

It depends which set of table you use (US Navy, PADI, NAUI, etc.). The pressure groups do not translate from one table another; they all apply different values.

On the US Navy table the answer would be: Group J.

The NAUI tables used the US Navy values up to depths of 130 (the USN tables go to at least 310ft.), where they stopped. But other than a cosmetic reformatting, no data was changed. As stated above, but using the NAUI tables, Group K with a 34 minute surface interval moves you down to group J.

I'll check into what PADI did and provide more data later.