The generator matrix
1 0 1 1 1 1 1 21 1 24 0 24 21 1 1
0 1 7 26 21 4 20 1 24 1 1 1 1 26 16
0 0 9 0 0 0 18 9 9 9 0 18 18 18 0
0 0 0 9 0 9 9 9 9 0 9 9 0 18 0
0 0 0 0 18 18 0 18 0 18 9 18 18 18 0
generates a code of length 15 over Z27 who´s minimum homogenous weight is 24.
Homogenous weight enumerator: w(x)=1x^0+192x^24+810x^26+446x^27+2430x^28+3240x^29+3726x^30+4860x^31+3240x^32+660x^33+66x^36+12x^42
The gray image is a code over GF(3) with n=135, k=9 and d=72.
This code was found by Heurico 1.16 in 44.9 seconds.