The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  0 24  1  1 24  1  0 21  1
 0  1  7 26 21  4 20  1 19 24  1 23 26  0  1  1 20 24  1 26  1  1 21
 0  0  9  0  0  0 18  9 18  9  9  9  9  9 18 18  0  9 18  0 18  9 18
 0  0  0  9  0  9  9  9 18 18  0 18  9  0  9  0  9  0  0 18  0  9 18
 0  0  0  0 18 18  0 18 18  9 18 18  0 18 18 18  9  9  9  9  0  9  0

generates a code of length 23 over Z27 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+100x^39+318x^40+940x^42+1230x^43+1944x^44+3408x^45+2502x^46+3888x^47+3418x^48+1698x^49+88x^51+84x^52+38x^54+10x^57+16x^60

The gray image is a code over GF(3) with n=207, k=9 and d=117.
This code was found by Heurico 1.16 in 1.58 seconds.