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Error message with lme function

FMH
Dear All,

I have a set of data which consist of 261 groups with 11 temperature values?in each group. This temperature is recorded across 11 different depths of the sea. The variables involve?in the R script are:

############################
#group : 1-261
#dp: 11 different depths for each group
#sub1: Data set 1
#set: Data set 2
############################

I tried to fit a linear mixed model with fixed efffect on slope and intercept, and random effect on slope and intercept too with lme function, but sadly the program gave an error message. 

#################################################
dp<- rep(rev(seq(1,51, by = 5)),261)
group?<- rep(1:261, each = 11)
set <- data.frame(sub1, dp, group)
(lm.lme2 <- lme(Temp ~ dp| group, data = set, random = ~ dp| group))

Error in MEEM(object, conLin, control$niterEM) :?
?Singularity in backsolve at level 0, block 1
#################################################

Could someone please advice me the meaning of this error and the way to sort it out?

Thank you
Fir