What is your double bass's mensure? What tension Spiros are you using, and are you using 4/4 or 3/4 Spiros?
You may be finding your double bass mensure combined with these particular Spiro strings and your playing style produces too much excursion when you pizz or arco the strings. Try a very light touch with an electronic tuner to get in tune, then as you play normally, if you're getting more than 30 or 40 cents difference high or low on the electronic tuner when the string is in action, you may need higher tension Spiros on that double bass -- you could try to develop a permanent lighter touch, but higher tension Spiros would be easier.
Also, if this double bass was setup for fat/low-tension strings (guts, synthetics) before the Spiros, you may be dealing with setup differences with the nut and bridge slots and/or with fingerboard relief. In that case a luthier setup might be appropriate, and you may want to also have the luthier check the sound post for the best tone with Spiros.