You could try playing with the bw (bandwidth) argument of geom_violin(). Below are a few versions.
df <- data.frame(stringsAsFactors = TRUE,
variable = c("Re","C","Ra","T"),
value = c(1.666667, 3.333333, 1.666667, 28.333333,
3.333333, 0.000000, 0.000000, 16.666667,
5.000000, 5.000000, 3.333333, 28.333333,
5.000000, 2.666667, 3.333333, 18.333333,
8.333333, 1.666667, 0.000000, 13.333333,
8.333333, 1.666667, 0.000000, 23.333333,
1.666667, 6.666667, 1.666667, 31.666667,
3.333333, 0.000000, 1.666667, 5.000000))
library(ggplot2)
#> Warning: package 'ggplot2' was built under R version 3.5.3
ggplot(df, aes(variable, value)) +
geom_violin(trim = FALSE, fill = "#008C96", colour = "black") +
geom_boxplot(width = 0.1, size = 0.75, position = position_dodge(0.95), fill = "white", colour = "black") +
labs(x= "pattern", y="Error rate", title = "Default Bandwidth") +
ylim (0,40) + theme(axis.text=element_text(size=12),axis.title=element_text(size=14,face="bold"))
#> Warning: Removed 523 rows containing missing values (geom_violin).

ggplot(df, aes(variable, value)) +
geom_violin(trim = FALSE, fill = "#008C96", colour = "black", bw = 1.5) +
geom_boxplot(width = 0.1, size = 0.75, position = position_dodge(0.95), fill = "white", colour = "black") +
labs(x= "pattern", y="Error rate", title = "Bandwidth = 1.5") +
ylim (0,40) + theme(axis.text=element_text(size=12),axis.title=element_text(size=14,face="bold"))
#> Warning: Removed 427 rows containing missing values (geom_violin).

ggplot(df, aes(variable, value)) +
geom_violin(trim = FALSE, fill = "#008C96", colour = "black", bw =2) +
geom_boxplot(width = 0.1, size = 0.75, position = position_dodge(0.95), fill = "white", colour = "black") +
labs(x= "pattern", y="Error rate", title = "Bandwidth = 2") +
ylim (0,40) + theme(axis.text=element_text(size=12),axis.title=element_text(size=14,face="bold"))
#> Warning: Removed 498 rows containing missing values (geom_violin).

ggplot(df, aes(variable, value)) +
geom_violin(trim = FALSE, fill = "#008C96", colour = "black", bw =4) +
geom_boxplot(width = 0.1, size = 0.75, position = position_dodge(0.95), fill = "white", colour = "black") +
labs(x= "pattern", y="Error rate", title = "Bandwidth = 4") +
ylim (0,40) + theme(axis.text=element_text(size=12),axis.title=element_text(size=14,face="bold"))
#> Warning: Removed 706 rows containing missing values (geom_violin).

Created on 2019-10-31 by the reprex package (v0.3.0.9000)