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  3  3  3  1  1  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  6 12  0  0  9 12
 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 18  0  9  0 18 18

generates a code of length 38 over Z27 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+96x^73+180x^74+8x^75+84x^76+216x^77+10x^78+84x^79+36x^80+2x^81+6x^82+4x^84+2x^87

The gray image is a code over GF(3) with n=342, k=6 and d=219.
This code was found by Heurico 1.16 in 0.023 seconds.