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

generates a code of length 93 over Z27 who´s minimum homogenous weight is 187.

Homogenous weight enumerator: w(x)=1x^0+54x^187+14x^189+8x^192+2x^195+2x^198

The gray image is a code over GF(3) with n=837, k=4 and d=561.
This code was found by Heurico 1.16 in 0.348 seconds.