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

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

Homogenous weight enumerator: w(x)=1x^0+300x^77+266x^78+666x^80+432x^81+1152x^83+3334x^84+4500x^86+6182x^87+1260x^89+298x^90+534x^92+254x^93+294x^95+122x^96+36x^98+34x^99+6x^101+10x^102+2x^120

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 51.4 seconds.