I pitched three alternatives for dealing with punching shear above. The options pitched by SRE, thaiDavid, and AUCE98 would improve punching shear as well. And all of those options would serve to improve load spread and potentially reduce local soil bearing stresses. Is none of them suitable?
Geotechnical soil bearing stress numbers are usually about settlement, not true failure in the collapse sense. Might it be possible to exceed the allowable bearing stress and tolerate some extra settlement locally? What is the source of the 30k load and over what area is it applied?
I like to debate structural engineering theory -- a lot. If I challenge you on something, know that I'm doing so because I respect your opinion enough to either change it or adopt it.