Ok. I found the source of this game. But first, let me tell how.
I knew this game as "Take-Out" on MSX, in 1987 (there is a version with same name for C64). Until last week I didn't know there is game called "Maxit".
I'm a Game Developer and I was thinking in implementing a version of the game for Android/iOS, and started the search for new versions of the game, "Take-out", and didn't find nothing. Only some people talking it was based on a physical board game.
So, after a lot of search, I gave up looking for "Take-Out" and started search by the rules. There are millions of board games, so I didn't found this game by the rules in English. So I started to look for the rules in Portuguese (I'm Brazilian), and looking for wooden game boards. By a happy coincidence, this game is being played in many schools in Brazil (and studied in education courses), and here it's called "Matix".
So I started looking for "Matix" and after an hour I found the original game, of 1968, called "Mattix": Original Game
In the middle of the searchs, I found a modern version called Sums, for Windows
You can find more versions in the Mobygames Maxit variants
The First publication I found about the computer version (called Maxit, I imagine the author inverted the 'x' and 't', and removed a 't', to avoid problems) is of 1978 February, so this version was probably created in 1977: First computer version