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Whereas the theory and practice of two-terminal quadratic Gaussian multiterminal (MT) source coding is complete, the theory with more than two terminals is only partial, with the sum-rate limit only known in the symmetric case where all sources are positively symmetric and all target distortions equal. This paper proposes the first code design for quadratic Gaussian MT source coding in this symmetric setup. The aim is to approach corner points of the rate region via TCQ for quantization and LDPC codes for Slepian-Wolf compression. We provide high-rate analysis of our code design. Simulations with three and four terminals show a very small sum-rate loss.