TCL obtain the proc name in which I am

The correct idiomatic way to achieve what's implied in your question is to use return -code error $message like this:

proc nameOfTheProc {} {
    #a lot of code here
    return -code error "Wrong sequence of blorbs passed"
}

This way your procedure will behave exactly in a way stock Tcl commands do when they're not satisfied with what they've been called with: it would cause an error at the call site.

You can use the info level command for your issue:

proc nameOfTheProc {} {

    #a lot of code here
    puts "ERROR: You are using '[lindex [info level 0] 0]' proc wrongly"
    puts "INFO:  You specified the arguments: '[lrange [info level [info level]] 1 end]'"
}

With the inner info level you will get the level of the procedure call depth you are currently in. The outer one will return the name of the procedure itself.