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A seven-core few-mode multicore fiber in which each core supports both the LP ₀₁ mode and the two degenerate LP ₁₁ modes has been designed and fabricated for the first time, to the best of our knowledge. The hole-assisted structure enables low inter-core crosstalk and high mode density at the same time. LP ₀₁ inter-core crosstalk has been measured to be lower than -60 dB/km. LP ₁₁ inter-core crosstalk has been measured to be around -40 dB/km using a different setup. The LP ₁₁ free-space excitation-induced crosstalk is simulated and analyzed. This fiber allows multiplexed transmission of 21 spatial modes per polarization per wavelength. Data transmission in LP ₀₁ /LP ₁₁ mode over 1 km of this fiber has been demonstrated with negligible penalty.