It was also the fourth of six Gameweeks he has picked up bonus points, a total no other player can match.
Silva's passing ability is driving his success in the Bonus Points System (BPS) as one of only four players to earn 30 in the BPS from pass completion.
He has earned six BPS in a match for 90% pass completion on three occasions, earning four BPS for 80% in the other three Gameweeks.
Silva also tops the charts for big chances created, with six, each earning him four more points in the BPS.
Dele Alli (£9.5m) also supplied two assists in Gameweek 6, but, unlike Silva, he was denied additional bonus points.
No player has lost more BPS points due to being tackled than Alli's 31 this season.
Cesar Azpilicueta (£6.5m) is the new leader in the BPS among defenders, on 180.
His four assists have played a major role, but he also fares well across several other metrics.
As well as creating five big chances (earning him four BPS apiece), Azpilicueta tops the Chelsea ranks for clearances, blocks and interceptions (35) and net tackles won (7).
The German registered 38 in the BPS and totals 158 overall, second only to Azpilicueta (180) and Phil Jones (£5.2m; 169) for defenders.
Schindler recorded 17 clearances, blocks and interceptions against the Clarets, the highest in the Gameweek.
He has also won more net tackles (12) than any other defender this season.
However, with three of Schindler's next four opponents scoring four in the Fixture Difficulty Rankings (FDR), FPL managers should show caution.