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

generates a code of length 99 over Z27 who´s minimum homogenous weight is 189.

Homogenous weight enumerator: w(x)=1x^0+112x^189+456x^192+576x^195+1458x^196+972x^197+398x^198+1944x^200+174x^201+144x^204+78x^207+126x^210+90x^213+30x^216+2x^288

The gray image is a code over GF(3) with n=891, k=8 and d=567.
This code was found by Heurico 1.16 in 1.01 seconds.