The generator matrix

 1  0  1  1  1  1  1 21  1  1  1
 0  1 16 26 21  4 20  1 24 19  9

generates a code of length 11 over Z27 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+168x^20+62x^21+126x^22+336x^23+32x^24+4x^27

The gray image is a code over GF(3) with n=99, k=6 and d=60.
This code was found by Heurico 1.16 in 0.000433 seconds.