The generator matrix

 1  0  0  1  1  1  1  1  1  1 21 15  1 15  1  1  1  1 21  1  1  0  1 12 18  1  1  1  1  0  1  1  1 12  1  1 15  1  1  1  1  1  1
 0  1  0  0  9 16 16  1  2 23  1  1 23  1 21  1  5 17  1 15 18 24  8  1  1  0  4 25 24  1  2 16 11 21  8  1  1  7 18 22 10 19  8
 0  0  1  1 17 17 15  1 23  3 17 19  4  7 11 16 18 13 21 25 18  1 23  2  1 10 22  5 26 26 16  9 23  1 25 22  6  3 16 15 12  8 15
 0  0  0 24 18  9  0  6  3 12  9  9  0  6 12 21 15  3 12 18  3 24 18  3 12 21 18 12 15 24  0 24 15  3  3 24 15 18 24 12  3  6  0

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

Homogenous weight enumerator: w(x)=1x^0+720x^77+1044x^78+2412x^79+4566x^80+6374x^81+9576x^82+11484x^83+14952x^84+23076x^85+21030x^86+21090x^87+24966x^88+15876x^89+9942x^90+5436x^91+2760x^92+1140x^93+144x^94+336x^95+114x^96+78x^98+18x^99+12x^101

The gray image is a code over GF(3) with n=387, k=11 and d=231.
This code was found by Heurico 1.16 in 217 seconds.