The generator matrix

 1  0  0  0  1  1  1 24  1  1 18 21  1  1  1  3  1
 0  1  0  0 15 19 16  1 18  7  1  1 15 10 23  1 24
 0  0  1  0 16 19 14 25 24  2  6 25 11 15 13  7  4
 0  0  0  1 14 21 17  2  4  1 20 16  2 26  5  1 26

generates a code of length 17 over Z27 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+630x^26+532x^27+3672x^28+5280x^29+18678x^30+21030x^31+64908x^32+69062x^33+116190x^34+122184x^35+69820x^36+28098x^37+9516x^38+1532x^39+138x^40+144x^41+22x^42+4x^48

The gray image is a code over GF(3) with n=153, k=12 and d=78.
This code was found by Heurico 1.16 in 93.3 seconds.