The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  3  3
 0  3 24  0 21 24 21  0 21  9 12  9 21 21
 0  0  9  0  9  0 18  9  9 18  9  0 18  0
 0  0  0  9 18  9  9 18  0 18  9 18  0  0

generates a code of length 14 over Z27 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+216x^24+452x^27+972x^28+468x^30+72x^33+6x^36

The gray image is a code over GF(3) with n=126, k=7 and d=72.
This code was found by Heurico 1.16 in 0.0263 seconds.