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

generates a code of length 97 over Z27 who´s minimum homogenous weight is 186.

Homogenous weight enumerator: w(x)=1x^0+276x^186+524x^189+486x^190+444x^192+1944x^193+360x^195+1944x^196+178x^198+120x^201+54x^204+132x^207+84x^210+12x^213+2x^279

The gray image is a code over GF(3) with n=873, k=8 and d=558.
This code was found by Heurico 1.16 in 8.72 seconds.