hi
regard for evryboddy.
i found in mouser the encoder.
its grey 2 bit 16 detents 4 cycle per revolution about 3.48$.
its exaclly what the describe in doucomments.
the part no. is 288t232r161a2.
there is another encoder but little expenssive 12$ and higher.
like 510 serias by honywell.
abiable in stock.