The generator matrix

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

generates a code of length 38 over Z27 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+12x^75+216x^76+6x^78+2x^81+6x^87

The gray image is a code over GF(3) with n=342, k=5 and d=225.
This code was found by Heurico 1.16 in 0.0117 seconds.