The generator matrix

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

generates a code of length 51 over Z27 who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+54x^97+894x^98+576x^99+930x^100+924x^101+570x^102+414x^103+660x^104+528x^105+360x^106+582x^107+6x^108+12x^109+12x^111+6x^113+6x^114+2x^117+12x^118+12x^119

The gray image is a code over GF(3) with n=459, k=8 and d=291.
This code was found by Heurico 1.16 in 0.126 seconds.