The generator matrix

 1  0  0  1  1  1  1  1  9 15  1  1
 0  1  0 15  1 16 26 20  1  1  9 12
 0  0  1 16  1 14 24 17 17  7  8 18

generates a code of length 12 over Z27 who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+42x^19+744x^20+580x^21+2148x^22+2742x^23+5718x^24+4218x^25+2814x^26+584x^27+72x^28+18x^29+2x^30

The gray image is a code over GF(3) with n=108, k=9 and d=57.
This code was found by Heurico 1.16 in 0.102 seconds.