The generator matrix

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

generates a code of length 41 over Z27 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+210x^77+312x^78+1062x^79+654x^80+636x^81+1116x^82+480x^83+426x^84+1062x^85+414x^86+122x^87+12x^89+14x^90+6x^92+6x^95+28x^96

The gray image is a code over GF(3) with n=369, k=8 and d=231.
This code was found by Heurico 1.16 in 0.0865 seconds.