The generator matrix

 1  0  1  1  1  1  1  1 18  1 24  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1 21 21 18  1  1  1
 0  1  1 26 18 17  0 16  1 26  1  4  3 24  4 22 21 23  6 16 10 21 10 24 25  1 14 26  1  1  1 20  3  0
 0  0 24  9 21 12  6 15 12  6 15 24  3  6 18 12 18  0  3  9 12 15  9  0 21 24  3 24 15 24 21 15  9 15

generates a code of length 34 over Z27 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+228x^63+156x^64+1014x^65+830x^66+288x^67+1242x^68+1056x^69+324x^70+972x^71+358x^72+30x^73+10x^75+6x^76+6x^77+18x^78+6x^79+6x^80+10x^81

The gray image is a code over GF(3) with n=306, k=8 and d=189.
This code was found by Heurico 1.16 in 0.0655 seconds.