Auto-open NERDTree in "EVERY" tab

Is it possible to open NERDTree in every tab with pressing t or T in NERDTree, if yes, How?


autocmd VimEnter * NERDTree
autocmd BufEnter * NERDTreeMirror

edit: The above command seems to open the new tab in NERDTree's buffer. Instead use this as mentioned by wejrowski in the comment below :

autocmd BufWinEnter * NERDTreeMirror

I wrote a vim plugin that does this and also adds some goodies on top (i.e. keeps all trees in sync, ensures meaningful tab captions - not captions like 'NERD_tree_1' etc.).

It's here on Github: https://github.com/jistr/vim-nerdtree-tabs