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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  1  1  1  3  3  1  1  1  1  3  3  1  1  1  1  1  3  3  1  1  3  3  3  1  3  9  9  0  3  3  3  1  3  1  3  3  3  1  1  1  3  9  9  9  0  1
 0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  9 18  0  9 18  9 18  0  9 18  0  9 18  9 18  0  9 18  9 18  0  9  0  9 18 18  0  9 18  9  0  9 18  0  0  9  9 18  0 18  0  9  0  0  9 18  9  0

generates a code of length 96 over Z27 who´s minimum homogenous weight is 193.

Homogenous weight enumerator: w(x)=1x^0+54x^193+14x^195+8x^198+2x^201+2x^207

The gray image is a code over GF(3) with n=864, k=4 and d=579.
This code was found by Heurico 1.16 in 0.396 seconds.