The generator matrix

 1  0  0  1  1  1  1  1  1 15  1  1  1  1  9  1  1
 0  1  0 15  1 16 17  9 20  1  7  5  4 14  1 13 21
 0  0  1 16  1 15 20 17  6 16 14 25 26 21 21 15  4

generates a code of length 17 over Z27 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+156x^29+832x^30+1428x^31+1794x^32+2628x^33+4932x^34+3294x^35+2900x^36+1404x^37+258x^38+38x^39+12x^40+6x^41

The gray image is a code over GF(3) with n=153, k=9 and d=87.
This code was found by Heurico 1.16 in 0.169 seconds.