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 12 24  1 12  1  1  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  1 12 12  0 20 20
 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 14 16  9  1  4  1 14

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

Homogenous weight enumerator: w(x)=1x^0+894x^67+1728x^68+1276x^69+2232x^70+2796x^71+2300x^72+2196x^73+2490x^74+1116x^75+1608x^76+900x^77+80x^78+18x^79+12x^80+18x^82+12x^83+6x^84

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 3.22 seconds.