12 Oz is a big ask.
The only Leupolds close are the VX3i 3.5-10x40 at 12.6 Oz. and several 3-9x in the Freedom, patrol and rifleman ranges. Notably, their FXII fixed 6x36 is 10 Oz.
I don't think you will get a Schmidt under 1 lb. The summit 2.5-10x40 you mentioned is 16.8 Oz.
The smallest new Kahles I can see is the 1-6x24 at 16.9 Oz.
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