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

generates a code of length 91 over Z27 who´s minimum homogenous weight is 181.

Homogenous weight enumerator: w(x)=1x^0+144x^181+54x^182+12x^186+8x^189+18x^190+4x^192+2x^201

The gray image is a code over GF(3) with n=819, k=5 and d=543.
This code was found by Heurico 1.16 in 0.322 seconds.