Air carrier pilot reported being cleared for a BOS departure procedure that was not allowed to be performed on the runway given by ATC. Along with the departure procedure restrictions; Clearance Delivery disagreed with what was written on the NOTAM for the other; closed runway; which had conditions that if followed; would have allowed the runway to be opened earlier.

Narrative

We called BOS Clearance for pushback and requested 4R for performance. Our performance data had numbers for 4R and said would need to request numbers for 4L. Clearance said 4R was closed but 4L was available and cleared us the BLZZR5 Departure. We requested numbers for 4L to make sure we could do it and changed the runway in the FMGC. But the BLZZR5 Departure is not available in the database for 4L. We said unable the BLZZR5 but could do the LOGAN. Clearance Delivery said only the BLZZR was available and claimed it was available for all the runways. He also claimed they haven't had any problems with aircraft departing 4L with the BLZZR. The Jeppesen chart for BLZZR5; dated 26 Nov 21; states in the notes. Runways 4L; 14; 15L; 32; 33R: Not authorized - ATC." A clearance of 4L and departing on the BLZZR5 constitutes an illegal clearance and would be concerning if crews are truly accepting it. The closure of 4R was a temporary NOTAM issued for that day. The runway opened at XA:30 and we departed when it opened but it meant an almost 40-minute delay. Scheduled to depart during a runway closure. Too heavy for Runway 9. Controller apparently unfamiliar with BLZZR5 restrictions. NOTAM said runway could be opened with coordination and 20 minutes prior notice. But Clearance Delivery insisted it was closed until the NOTAM expired. Either update BLZZR5 so 4L is a legal runway on that departure or educate pilots/controllers."