The generator matrix

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

generates a code of length 96 over Z27 who´s minimum homogenous weight is 189.

Homogenous weight enumerator: w(x)=1x^0+210x^189+1836x^192+54x^195+78x^198+4x^207+2x^216+2x^234

The gray image is a code over GF(3) with n=864, k=7 and d=567.
This code was found by Heurico 1.16 in 0.418 seconds.