find the longest consecutive time length in the whole time period of this data frame?

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Splite from: How to check missing days in datasets in R

I have one more question.
There are missing days intermittently. How to find the longest consecutive time length in the whole time period of this data frame? Thanks.

Here's a reprex setting up the format of the data used,

library(dplyr)
library(lubridate)
library(tsibble)

df.xlsx1 <- data.frame(
    Year = c(1985, 1985, 1985, 1985, 1985),
    Month = c(1, 1, 1, 1, 1),
    Day = c(1, 2, 5, 6, 7),
    Value = c(10, 12, 11.8, 15, 21)
)
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2

In case you can't manage to make it work, this would be a manual way of subsetting the longest continuous time period

library(tidyverse)
library(lubridate)
library(tsibble)

df.xlsx1 <- data.frame(
    Year = c(1985, 1985, 1985, 1985, 1985),
    Month = c(1, 1, 1, 1, 1),
    Day = c(1, 2, 5, 6, 7),
    Value = c(10, 12, 11.8, 15, 21)
)

df.xlsx1 %>% 
    mutate(Date = make_date(year = Year, month = Month, day = Day)) %>% 
    as_tsibble(index = Date) %>% 
    fill_gaps() %>% 
    mutate(group = if_else(!is.na(Value) & is.na(lead(Value)), row_number(), NA_integer_)) %>% 
    filter(!is.na(Value)) %>% 
    fill(group, .direction = "up") %>% 
    group_by(group) %>% 
    add_count() %>% 
    ungroup() %>% 
    filter(n == max(n)) %>% 
    select(-group, -n)
#> # A tibble: 3 x 5
#>    Year Month   Day Value Date      
#>   <dbl> <dbl> <dbl> <dbl> <date>    
#> 1  1985     1     5  11.8 1985-01-05
#> 2  1985     1     6  15   1985-01-06
#> 3  1985     1     7  21   1985-01-07
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