The generator matrix

 1  0  1  1  1  1  1  1 21 24  1  1
 0  1  1 26 18 17 21 16  1  1  3  4
 0  0 24  9 21 12 15  6 15  9  3  0

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

Homogenous weight enumerator: w(x)=1x^0+264x^20+70x^21+942x^22+816x^23+1720x^24+1788x^25+816x^26+68x^27+24x^28+48x^29+2x^30+2x^33

The gray image is a code over GF(3) with n=108, k=8 and d=60.
This code was found by Heurico 1.16 in 0.0155 seconds.