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

generates a code of length 43 over Z27 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+240x^77+246x^78+798x^80+370x^81+648x^82+906x^83+1938x^84+2592x^85+3648x^86+3180x^87+2592x^88+744x^89+528x^90+504x^92+186x^93+342x^95+102x^96+96x^98+8x^99+12x^101+2x^117

The gray image is a code over GF(3) with n=387, k=9 and d=231.
This code was found by Heurico 1.16 in 1.28 seconds.