The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  0  1
 0  3  0  0 18  3 21  3 18 21 15 24  9 12  0  6 12 15 21  0  9  3  9
 0  0  3  0 21 24 24  9 15 21 18  9 24  3 18  3  9  3 21 15  3 21 18
 0  0  0  3 15 12 15 21 18 21 21 18  3  0  6  3 15  9 24  6 21 21  3

generates a code of length 23 over Z27 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+144x^38+182x^39+204x^40+492x^41+562x^42+306x^43+2574x^44+1240x^45+6252x^46+4668x^47+1258x^48+372x^49+678x^50+318x^51+126x^52+180x^53+80x^54+30x^55+12x^56+2x^60+2x^63

The gray image is a code over GF(3) with n=207, k=9 and d=114.
This code was found by Heurico 1.16 in 0.54 seconds.