The generator matrix

 1  0  1  1  1  1  1 18  1 24  1  1  1  1  1  1 21
 0  1  1 26  0 25 17  1 18  1 16 14  2  1 24  4  1
 0  0 24  0  9  3 21  3 21  6  6  6 21  3  3  9 18
 0  0  0  3 15  9 15 15  9  0  6  3 18  6 21 24 18

generates a code of length 17 over Z27 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+194x^27+444x^28+438x^29+2002x^30+1836x^31+8760x^32+6470x^33+11592x^34+16830x^35+6642x^36+2580x^37+678x^38+434x^39+72x^40+24x^41+52x^42

The gray image is a code over GF(3) with n=153, k=10 and d=81.
This code was found by Heurico 1.16 in 1.75 seconds.