The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  1  1  1  1  1  1
 0  1 16 26 21  4 20  1 24 19 23  1  9  7  8 12 13 11  6 10 18

generates a code of length 21 over Z27 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+78x^40+264x^41+92x^42+156x^43+132x^44+2x^45+2x^48+2x^54

The gray image is a code over GF(3) with n=189, k=6 and d=120.
This code was found by Heurico 1.16 in 0.00153 seconds.