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

generates a code of length 39 over Z27 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+72x^75+234x^76+84x^78+180x^79+80x^81+72x^82+6x^87

The gray image is a code over GF(3) with n=351, k=6 and d=225.
This code was found by Heurico 1.16 in 0.0193 seconds.