The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  9  1  1  1 12  1  1  1  6  1  1  1  1  1  1  1  1  1 18  3 15  1  1
 0  1 16 26 21  4 20  1 24 19 23  1  9  7  8  1 12 13 11  1  6 10  5  1 18 25  3 22 17  2 15  1 14  1  1  1  0 21

generates a code of length 38 over Z27 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+36x^74+12x^75+594x^76+72x^77+6x^78+2x^81+6x^87

The gray image is a code over GF(3) with n=342, k=6 and d=222.
This code was found by Heurico 1.16 in 0.00892 seconds.