The generator matrix

 1  0  0  1  1  1  1  1  1 15  1  1  9  1  1  1  1 21  3  1  9 15  1  1
 0  1  0 15  9 16  1 14  2  1  7 26  1 12  8 21 20  1  1 12  1 12  5 24
 0  0  1 16 17 14  1 21 10 16  6  8 26 24 12  5 13 18 13 22 14  1  2 26

generates a code of length 24 over Z27 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+642x^43+534x^44+1694x^45+2856x^46+1818x^47+3484x^48+3834x^49+1800x^50+1704x^51+1230x^52+42x^53+24x^55+18x^56+2x^57

The gray image is a code over GF(3) with n=216, k=9 and d=129.
This code was found by Heurico 1.16 in 0.261 seconds.