Translation:Next Wednesday Holy Week starts.
And Duo has acknowledged that they now accept several corrections/additions I've made to their accepted answers, so they do, in fact, look at the problems reported and correct their database as appropriate. (Whew! Glad to know I'm transforming from guinea pig to giant. Is that like ugly duckling to swan?!)
The next whatever day IS the coming whatever day. If, as you say, the reference is to the day of the FOLLOWING week, then we specify that, e.g. "a week from next/this coming Tuesday", If you really mean the second Tuesday from today, then you usually say, "not THIS Tuesday, but the next one", from which we can infer that THIS Tuesday IS actually the next Tuesday. This clarification usually occurs when we're only 2-3 days out from the referenced one.