The generator matrix

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

generates a code of length 36 over Z27 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+786x^65+770x^66+1458x^67+5526x^68+2886x^69+4158x^70+11112x^71+4878x^72+6750x^73+11694x^74+3326x^75+2214x^76+2808x^77+480x^78+120x^80+44x^81+30x^83+8x^84

The gray image is a code over GF(3) with n=324, k=10 and d=195.
This code was found by Heurico 1.16 in 3.87 seconds.