The present invention relates to genetically modified plant cells and plants, and to processes for the production of genetically modified plant cells and plants which have an increased activity of a protein having the activity of a starch synthase Il and an increased activity of a protein having the activity of a glucan-water dikinase. Plants of this type synthesize starches having increased hot water swelling power. The present invention likewise relates to starches having increased hot water swelling power, and to processes for their production.