Update: That was quick! Nintendo have confirmed that the issue has now been resolved.
Original Story: Nintendo have taken to Twitter to issue an apology regarding this week’s Wii U system update, and not for only sprinkling our lives with extra stability.
It has emerged that some users are repeatedly being met with error code 108-0065 when trying to download the update, which occurs either when the download has timed out or when connection to the server is lost.
As can be expected, Nintendo are investigating as a priority and have apologised to those being affected by the error while they look to rectify whatever’s causing it.
一部のお客様において発生しております、Wii U本体の更新時にエラーコード[108-0065]が表示され更新できない障害につきましては、現在も継続しており復旧に努めております。ご迷惑をおかけしており誠に申し訳ございません。
— 任天堂株式会社 (@Nintendo) June 10, 2015
I have been having this problem for a week.. Hope they fix it