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A combination of vertically packed spin-valve sensors with two-dimensional in-plane arrays, connected in series and in parallel, delivers a final detection level of 360 pT\/<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\sqrt{Hz}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:msqrt>\n                    <mml:mrow>\n                      <mml:mi>Hz<\/mml:mi>\n                    <\/mml:mrow>\n                  <\/mml:msqrt>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> at 10 Hz at room temperature. The device design is supported by an analytical model developed for a vertically packed spin-valve system, which takes into account all magnetic couplings present. Optimization concerning the spacer thickness and sensor physical dimensions depending on the number of pilled up spin-valves is necessary. To push the limits of detection, arrays of a large number\u00a0of sensing elements (up to 440,000) are patterned with a geometry that improves sensitivity and in a configuration that reduces the resistance, leading to a lower noise level. 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