The generator matrix

 1  0  1  1  1  1  1 18  1  1  0  1  1 15  1  1  1  1 15  1 24  1  1  1  9 24  1  1  1 18  1  3  1  1  1
 0  1  1 26  0 25 17  1  3 19  1 23 19  1 23 24 15 19  1 26  1 12 11  3  1  1  7 25 24  1 25 21 22  2 21
 0  0 24  0  9  0 15 21 24 18 24 15  6 21 12  3 18 18 24  0 12 21 12 12  0 24 24 21 15 12  3  6  9 18 15
 0  0  0  3 15 12 21 15  3  6  6 18  6 18 12 12 21 18  3 18 21  0  0  6 12 18 12 18 15 21  6 12 21  9  6

generates a code of length 35 over Z27 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+72x^61+228x^62+846x^63+768x^64+2010x^65+3662x^66+2940x^67+5220x^68+9212x^69+6504x^70+8478x^71+9962x^72+3960x^73+2544x^74+1612x^75+300x^76+378x^77+184x^78+12x^79+78x^80+36x^81+24x^82+18x^83

The gray image is a code over GF(3) with n=315, k=10 and d=183.
This code was found by Heurico 1.16 in 4.54 seconds.