The generator matrix

 1  0  1  1  1  1  1  1 18  1 21  1  1  0  1  1 21  1  1  1 24  3  1  1  1  1  6  1 24  1  1  3 18 18  1
 0  1  1 26 18 17  0 25  1 20  1 21 20  1  5 24  1 12 26 21  1  1  2 23 15 24  1 23  1 24 17  1  1  1  0
 0  0 24  9 21 12  6  3  3 18  0  0 15  6 18  9  6  3  6 24 21  3 21 21  3 24 24  6 18 18  0 15 12 18  0

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

Homogenous weight enumerator: w(x)=1x^0+294x^65+198x^66+726x^67+1074x^68+324x^69+1338x^70+936x^71+252x^72+666x^73+552x^74+102x^75+12x^76+42x^77+6x^78+12x^79+18x^80+6x^81+2x^99

The gray image is a code over GF(3) with n=315, k=8 and d=195.
This code was found by Heurico 1.16 in 0.0684 seconds.