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

generates a code of length 97 over Z27 who´s minimum homogenous weight is 192.

Homogenous weight enumerator: w(x)=1x^0+22x^192+156x^193+486x^194+30x^195+8x^198+14x^201+4x^204+2x^213+6x^220

The gray image is a code over GF(3) with n=873, k=6 and d=576.
This code was found by Heurico 1.16 in 0.421 seconds.