The generator matrix

 1  1  1  1  1  1  1  1  1  3  3  1  1
 0  9 18  0  9 18  0  9 18  9 18  0  9

generates a code of length 13 over Z27 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+12x^25+54x^26+4x^27+6x^28+2x^30+2x^33

The gray image is a code over GF(3) with n=117, k=4 and d=75.
This code was found by Heurico 1.16 in 0.00035 seconds.