The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  3  1  1  3  1  1
 0  3  0 21  0  3 24 15 24  0 18  9 24 15 24  3 24
 0  0  3  6 24  3  0 21 24  0 21  3 18  6 15 18 24
 0  0  0  9  0 18  0  9 18  9  9  9 18  9  0  9  9
 0  0  0  0  9  9 18  9  9  9  0  9  9 18 18  9  9

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

Homogenous weight enumerator: w(x)=1x^0+90x^26+124x^27+210x^28+342x^29+468x^30+222x^31+2700x^32+1434x^33+6336x^34+4986x^35+1346x^36+402x^37+522x^38+234x^39+120x^40+108x^41+24x^42+14x^45

The gray image is a code over GF(3) with n=153, k=9 and d=78.
This code was found by Heurico 1.16 in 0.356 seconds.