AMATRICE, Italy — An Italian bishop issued a veiled critique of the suspected shoddy construction behind the high death toll of Italy’s earthquake and warned during a state funeral Tuesday that the rebuilding effort must not become a ‘‘looting’’ of state coffers.

‘‘Earthquakes don’t kill. What kills the most is the work of man,’’ Rieti Bishop Domenico Pompili told the weeping crowds gathered in the shadow of Amatrice’s ruins for the funeral Mass for some of the 292 victims.

Wails echoed under the roof of the open-sided tent as Pompili read aloud the names of the 242 people killed in the towns of Amatrice and Accumoli. And the crowd erupted in applause — a common gesture at Italian funerals — when dozens of white balloons were released at the end of the service.

On hand to concelebrate the Mass was Monsignor Konrad Krajewski, the pope’s chief almsgiver. Francis has promised to visit the quake zone.

Civil protection officials said only 37 caskets were on hand since many families opted for private funerals elsewhere. Another 50 people were killed in neighboring Le Marche region, where a state funeral was held over the weekend.

The 37 caskets faced the altar in rows, two little white caskets sandwiched between larger ones — evidence of some of the children killed. Relatives placed bouquets on the caskets and sat next to them quietly as rain fell outside.

In his homily, Pompili insisted that there was no choice but to rebuild Amatrice and Accumoli since abandoning the towns would ‘‘kill them a second time.’’ But he warned that the reconstruction must not become ‘‘a sort of looting of various forms.’’

Italy has a long history of organized crime and corrupt builders infiltrating public works contracts, especially those earmarked for reconstruction after natural disasters.

Prosecutors have opened an investigation into the Aug. 24 quake since many buildings crumbled despite having been renovated with public funds for anti-seismic improvements.

Associated Press