Depending on the situation punintentional means either an intentional pun as in pun intentional or as in an unintentional pun as in a pun on the word unintentional.
1. "Chop chop I need to get going" said the client in a whimsical way. "That was punintentional" laughed the barber.
2. "Did you hear about the fire at the campsite... it was so intense ( in tents)" said man 1. "Well that was a bad pun" said man 2. "Sorry it was punintentional" said man 1 with an aura of jokiness.
1: Spanish for a jack off; money shot; cumshot; to shoot jizz.
2: Complimentary peanuts found in a Bar/Saloon to subside hunger while getting drunk. Most of the time, the peanut shells are preferred to be thrown on the floor after you eat the inside.
1: Calmate pinche punieta! (chill out f*cking jack off!)
2: Does Lou's Saloon have punietas? I hate to drink on an empty stomach!