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  1  3  1
 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  0  9  0  9  9
 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 18  0

generates a code of length 41 over Z27 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+216x^79+44x^81+216x^82+18x^84+216x^85+18x^87

The gray image is a code over GF(3) with n=369, k=6 and d=237.
This code was found by Heurico 1.16 in 0.0223 seconds.