The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  3  3  3  3  1  0
 0  3 24  0 21 24  9 21  6  9 12  6  9 21 12  3  0 24 21  9 12 24  3
 0  0  9  9 18 18 18  9  0  9  0  9  0  9  9 18 18  0 18 18  0  0  9

generates a code of length 23 over Z27 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+96x^43+168x^44+8x^45+84x^46+252x^47+12x^48+84x^49+6x^51+6x^52+12x^53

The gray image is a code over GF(3) with n=207, k=6 and d=129.
This code was found by Heurico 1.16 in 0.0304 seconds.