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  3
 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 10 24  1  8 16 15  3
 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 19 10 16  9  2 26  1

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

Homogenous weight enumerator: w(x)=1x^0+702x^63+1728x^64+1374x^65+2220x^66+2850x^67+2304x^68+2470x^69+2358x^70+1326x^71+1274x^72+990x^73+12x^74+36x^75+12x^76+20x^78+6x^80

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 1.36 seconds.