Here is my suggestion:
A 741 is a piss-poor excuse for an opamp. It was obsolete 30 years ago.
It cannot difference two voltages close to it own negative supply pin. It can only pull its output within about 2V of either its positive supply pin or it negative supply pin, meaning that when running on 6V, the output can only swing from 2V to 4V.
In my version, I'm using a LM358 which is cheap, plentiful (and I have lots of them in my parts bin, and I have a trusted Spice model)
Note how I split the Sender pull-up resistor into two resistors, and used that as the signal to be amplified.
Note also that you will likely have to trim the Offset. See the variable resistor in the simulation.
The Plot is versus the Sender Resistance at various values of the TRIM resistor. If the gain is not suitable, then vary the feedback resistor.