The generator matrix

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

generates a code of length 36 over Z27 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+768x^67+1734x^68+1492x^69+2340x^70+2586x^71+2330x^72+2370x^73+2082x^74+1374x^75+1446x^76+1020x^77+62x^78+18x^79+24x^80+6x^81+24x^82+6x^83

The gray image is a code over GF(3) with n=324, k=9 and d=201.
This code was found by Heurico 1.16 in 3.01 seconds.