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  1  3  1  1  1  6  1  1  1 24  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 22  1  6 15  3 15 10 21 11  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 19 20 21 20  1  1 24  4 19 12 13

generates a code of length 35 over Z27 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+1002x^65+1312x^66+1440x^67+2718x^68+2112x^69+2322x^70+3084x^71+1712x^72+1404x^73+1728x^74+752x^75+18x^76+36x^77+6x^78+12x^80+18x^81+6x^83

The gray image is a code over GF(3) with n=315, k=9 and d=195.
This code was found by Heurico 1.16 in 22.3 seconds.