The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  9 21  1 12  1  1  1  1 12  1  1  1  1  6  3  1 15  1 24  0  1  1  1  1  9  3  1  3  1  1
 0  1  0 18 21 16 25 20 22 14  8  1  1  9  1  2  3 17 26 12 12  1 13 10  1 24 14  1  5  1  1  6 25 21 20 24  1 19  1  2 21
 0  0  1 16 14  5 25  9 21 10 26 22 14  3 21 10 11  2  9  1  4 13 23  3 26  1 25 25 26 14  7 18 24  1 12  1  6  8  8 20 15

generates a code of length 41 over Z27 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+294x^76+468x^77+2022x^78+1806x^79+1698x^80+2894x^81+2268x^82+1716x^83+2352x^84+1524x^85+954x^86+1200x^87+414x^88+18x^89+18x^90+6x^91+12x^93+6x^94+6x^95+6x^96

The gray image is a code over GF(3) with n=369, k=9 and d=228.
This code was found by Heurico 1.16 in 0.49 seconds.