The generator matrix

 1  0  1  1  1  1 21  1  1 24  1  1  1  0  1  1 18  1 15  3  1  1  1  1  1  1  1  1  1  1  1  1 21 21  1  1  1  1 21  1  1  1 18
 0  1  1 26 21 20  1 24 23  1 16  4  0  1 24 25  1  2  1  1 21 22 17  1 14 16 26 16  2  2 23 19  1  1 26 26  5 16  1 15 24 25  3
 0  0 24  0 18 18 18  0 18 18 15 24  6 24  6 21  3  3 12 12 15 21 12  3 12 18 24  0 12  9 15  0 24  6 15  6 18  6  9 21  3 21 21
 0  0  0  9  9  0 18 18 18  9 18  9 18  9  0 18  9 18 18  0  9  9  0  0  9  9  0  0  0  9  9 18 18  0  0  9  0  9  9  9 18  0 18

generates a code of length 43 over Z27 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+270x^79+438x^80+1114x^81+1104x^82+1212x^83+1938x^84+2292x^85+2010x^86+2928x^87+2568x^88+1380x^89+1444x^90+408x^91+228x^92+88x^93+120x^94+60x^95+18x^96+42x^97+18x^98+2x^102

The gray image is a code over GF(3) with n=387, k=9 and d=237.
This code was found by Heurico 1.16 in 84.4 seconds.