The generator matrix

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

generates a code of length 46 over Z27 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+252x^82+456x^83+1610x^84+2760x^85+4590x^86+5822x^87+9870x^88+12780x^89+15324x^90+19788x^91+21780x^92+21916x^93+21504x^94+17208x^95+9982x^96+6306x^97+2808x^98+1334x^99+606x^100+120x^101+108x^102+126x^103+36x^104+36x^105+24x^106

The gray image is a code over GF(3) with n=414, k=11 and d=246.
This code was found by Heurico 1.16 in 42.8 seconds.