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.