The generator matrix

 1  0  1  1  1  1  1
 0  1  7 26  0  0  0
 0  0  9  0  0  0  9
 0  0  0  9  0  0 18
 0  0  0  0  9  0 18
 0  0  0  0  0  9  9

generates a code of length 7 over Z27 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+114x^6+646x^9+7770x^12+34992x^14+14178x^15+1306x^18+42x^21

The gray image is a code over GF(3) with n=63, k=10 and d=18.
This code was found by Heurico 1.16 in 0.159 seconds.