The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  1  1  3  1  1  1  1  1  1  0  1
 0  3  0  0 24 21 15  3 24 21 18  0 21 15  9 24 24 12  9  3 21  0 15 15  3 12  0 15 15  3 18 24  3 24 21  9 24  9 15  3 24 21  0 18 18 18  9 12 21  9 24
 0  0  3 24  0 15 21  3  6  6 21  0  3 21 15 18 24  9  3 24 21 18 18 21 18  9 18 12  6 12 24 24  6  0  6 15 18  9  0 18  3 21 21 24 15 21 18  0 24  3 12
 0  0  0  9  0  0 18  0  0  9 18  9 18  9 18  9 18  9  9 18  9  0 18 18 18  0  9  0  9  0  0  9  0  9  0 18 18 18  9 18 18  9  9  9  9 18  9  9  9  9  0
 0  0  0  0  9 18  0  9 18  0 18  9  0  0  0  9 18  0 18 18  0 18 18 18  9 18 18  9 18  0  0  0  9 18  9  9  9  0  0 18  9 18  0 18  9  9  0  9 18  9 18

generates a code of length 51 over Z27 who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+634x^93+874x^96+324x^98+1328x^99+2430x^100+1296x^101+4122x^102+4860x^103+1296x^104+1038x^105+796x^108+450x^111+174x^114+42x^117+14x^120+2x^123+2x^144

The gray image is a code over GF(3) with n=459, k=9 and d=279.
This code was found by Heurico 1.16 in 2.22 seconds.