Your plot is already useful. A different visualization would be a kind of a seasonplot (see here for more inspiration) showing the durations of outages against the hour of day.

In such a plot, we can see a few days where outages bunched together (as in your plot), and in addition, we also see when in the day they occur: those at the beginning of November happened more in the early hours of the day, those later in November and in December happened either between 08:00 and 10:00, or between 17:00 and 23:00.
If you suspect weekly patterns (e.g., more/fewer outages on the weekend), you could put the 168 hours of a full week on the horizontal axis. (I suspect that the rectangles would look like very thin vertical bars then, and be hard to see - maybe impose some minimum thickness.)
R code below. I'm sorry, but how to draw a plot like this in a specific tool would be off-topic here, but this may already give you some inspiration, or you could ask elsewhere how to plot something like this in your favorite tool.
(dataset <- structure(list(Date = structure(c(1601507297, 1602807660, 1604171740,
1604171957, 1604280564, 1604541931, 1604708318, 1605263031, 1605491728,
1605574425, 1606410582, 1606583349, 1606603763, 1606718699, 1607287654,
1607331721, 1607380229, 1607450045, 1607498543), class = c("POSIXct",
"POSIXt"), tzone = ""), Duration = c(7, 2, 6, 5, 5, 28, 4, 4,
9, 3, 17, 2, 11, 2, 3, 3, 4, 2, 5)), class = "data.frame", row.names = c(NA,
-19L)))
x_starts <- as.POSIXlt(dataset$Date)$hour+as.POSIXlt(dataset$Date)$min/60+
as.POSIXlt(dataset$Date)$sec/3600
x_ends <- x_starts+dataset$Duration/60
yy <- max(as.Date(dataset$Date))-as.Date(dataset$Date)
opar <- par(mai=c(.5,1.3,.1,.1))
plot(c(0,24),c(0,diff(range(as.Date(dataset$Date)))),type="n",xlab="",ylab="",yaxt="n")
# plot *all* dates, even if they overlap
for ( ii in 1:nrow(dataset) ) {
axis(2,at=max(as.Date(dataset$Date))-as.Date(dataset$Date[ii]),
label=format(dataset$Date[ii],format="%Y-%m-%d"),las=1)
}
rect(xleft=x_starts,ybottom=yy-0.5,xright=x_ends,ytop=yy+0.5,col="black")
par(opar)
R code