The generator matrix

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

generates a code of length 51 over Z27 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+620x^96+642x^97+1518x^98+2838x^99+1518x^100+2034x^101+2566x^102+1308x^103+1470x^104+2158x^105+888x^106+888x^107+956x^108+156x^109+72x^110+14x^111+6x^112+6x^113+18x^115+6x^116

The gray image is a code over GF(3) with n=459, k=9 and d=288.
This code was found by Heurico 1.16 in 0.636 seconds.