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 24  1
 0  1  0 18  1 19 23 21  1  4  5 26  1  9  3 22  8  1  1 16  2  7 18 11 22  1  6 15  3 15 21 11  1  0
 0  0  1 16 25 18 17  8 22  5 22  6 20 21 23  7  4 12 13 14  3  9  1 26 19 20 21 20  1  1  4 19 12 13

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

Homogenous weight enumerator: w(x)=1x^0+1048x^63+1026x^64+1440x^65+3150x^66+1782x^67+2484x^68+3294x^69+1458x^70+1404x^71+1906x^72+594x^73+18x^74+36x^75+36x^78+6x^81

The gray image is a code over GF(3) with n=306, k=9 and d=189.
This code was found by Heurico 1.16 in 3.92 seconds.