The generator matrix

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

generates a code of length 35 over Z27 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+426x^62+282x^63+36x^64+738x^65+958x^66+216x^67+2766x^68+2406x^69+2376x^70+4878x^71+2358x^72+288x^73+828x^74+354x^75+438x^77+150x^78+114x^80+50x^81+18x^83+2x^93

The gray image is a code over GF(3) with n=315, k=9 and d=186.
This code was found by Heurico 1.16 in 2.76 seconds.