The generator matrix

 1  0  1  1  1  1  1 21  1  1  1  1
 0  1  7 21 26  4 20  1 24 21 16  0
 0  0  9 18  9  0 18 18  0  9 18  9

generates a code of length 12 over Z27 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+72x^20+26x^21+324x^22+294x^23+510x^24+648x^25+276x^26+26x^27+6x^29+4x^30

The gray image is a code over GF(3) with n=108, k=7 and d=60.
This code was found by Heurico 1.16 in 0.00239 seconds.