The Neutrino Experiment with a Xenon TPC (NEXT) searches for the neutrinoless double beta (0νββ) decay of 136 Xe using high-pressure xenon gas TPCs with electroluminescent amplification. A scaled-up version of this technology with ∼ 1 tonne of enriched xenon could reach, in a few years of operation, a sensitivity to the half-life of 0νββ decay better than 10 27 years, improving the current limits by at least one order of magnitude. This prediction is based on a well-understood background model dominated by radiogenic sources. The detector concept presented here represents a first step on a compelling path towards sensitivity to the parameter space defined by the inverted hierarchy, and beyond.