The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  3  1  1  1  1  3 18  1  1  1  1  0  1  1
 0  3  0  0  0 18  9  0  9 18 12 24 15 21  3 24 24  6 12 12 12  6  3  6 12 15  6  0 24 12 18 12 15  3  9 21 21 24  0  9  9
 0  0  3  0  9 21 21 24 24 15  3  0 21 15 21 15 18 12 15 18 18  6 24  0  3 15  3 21 15 12 21  9 12 21 18 18 18 15  3  0  9
 0  0  0  3 15 15 21 18 24 21 12  9 24 12 24 12 15  0 15 15  3  9  0 12 18 12 12 24 24 21 18 15 15  0  9  9 18  6 18 24 15

generates a code of length 41 over Z27 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+168x^73+186x^74+332x^75+594x^76+330x^77+908x^78+1122x^79+1674x^80+2376x^81+3486x^82+3054x^83+2378x^84+1338x^85+336x^86+368x^87+330x^88+162x^89+132x^90+198x^91+72x^92+62x^93+48x^94+18x^95+2x^96+6x^97+2x^108

The gray image is a code over GF(3) with n=369, k=9 and d=219.
This code was found by Heurico 1.16 in 1.14 seconds.