Find 77 7-letter Magic Words A magic word is a word whose Braille spelling contains precisely 26 dots (because the Morse code alphabet can be circularly encoded within). For example:

 ⠎ ⠝ ⠥ ⠛ ⠛ ⠇ ⠽ snuggly
 ⠏ ⠕ ⠇ ⠽ ⠛ ⠕ ⠝ polygon
 ⠝ ⠥ ⠛ ⠛ ⠑ ⠞ ⠽ nuggety
 ⠽ ⠕ ⠛ ⠓ ⠥ ⠗ ⠞ yoghurt


are all magic words. 

Objective: 
Craft a program to identify 77 such magic words and output the word along with its Braille spelling.
Jelly, 77 74 bytes

×6‘ḃØ⁵ịØJ⁾“»jVŒu
“¢~ỌƈY⁴⁸ġƁUP©¥!ḃ^⁶ẹøD’ḃ61
ÑOị¢BSS×LƲ⁼182µ77#Ñ€Ożị¢+⁽$ṁƊ$Ọ


Try it online! (Times out)

Demo using 4 words and starting the search later in the dictionary

All 77 words produced if enough time allocated

A full program that generates 77 seven-letter words from Jelly’s dictionary that require exactly 26 dots in Braille. Now outputs a list of lists with the word in ASCII and then Braille.