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

generates a code of length 97 over Z27 who´s minimum homogenous weight is 189.

Homogenous weight enumerator: w(x)=1x^0+116x^189+162x^192+1458x^194+324x^195+114x^198+10x^207+2x^288

The gray image is a code over GF(3) with n=873, k=7 and d=567.
This code was found by Heurico 1.16 in 0.63 seconds.