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<p>In this contribution, the design of a multiple-input multiple-output (MIMO) radar system in 77–81 GHz range with <span class="inline-formula">18</span> transmitting antennas and <span class="inline-formula">24</span> receiving antennas for measuring the height profile of bulk solids in silos, is presented and discussed. The antenna array topologies are optimized by utilizing space filling fractals in order to approximate a circular shaped antenna array on a hexagonal grid. The proposed MIMO radar system achieves an angular resolution of <span class="inline-formula">3.1^∘</span> for a maximum scanning angle of <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M4" display="inline" overflow="scroll" dspmath="mathml"><mrow><mo>±</mo><mn mathvariant="normal">45</mn><msup><mi/><mo>∘</mo></msup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="26pt" height="11pt" class="svg-formula" dspmath="mathimg" md5hash="9d94f269f3f45bc7d8afdccdf1d6d835"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="ars-19-23-2021-ie00001.svg" width="26pt" height="11pt" src="ars-19-23-2021-ie00001.png"/></svg:svg></span></span> and a side lobe suppression of <span class="inline-formula">12.6</span> dB. The performance of the system has been evaluated by test measurements on a sand heap, showing an improved measurement accuracy compared to conventional radar level systems.</p>