The generator matrix

 1  0  1  1  1  1  1 21  1  1  1  1  1  1  1  1  1  3  1
 0  1  7 26  4 21 20  1 24 19 23  0 26 16  4  9  8 21 19
 0  0  9  0 18 18  9  9  0 18  0 18  9  0  9  9 18 18  9

generates a code of length 19 over Z27 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+336x^35+362x^36+462x^38+674x^39+336x^41+12x^42+4x^48

The gray image is a code over GF(3) with n=171, k=7 and d=105.
This code was found by Heurico 1.16 in 0.214 seconds.