The generator matrix

 1  0  0  1  1  1  1  1  0 15  1  9  6 15 21  1  1  1  1  1  1  1  1
 0  1  0 15  1 16 26 20  1  1  0  1  1  1 18  6 10 20 21  6 25 13  0
 0  0  1 25  1 14 24 17 26 16 26 15 22 20  1 20  5 18  6  6  8 19 18
 0  0  0 18 18 18  0  0 18 18 18  9  9  0 18  0  9 18  9 18  0  0  9

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

Homogenous weight enumerator: w(x)=1x^0+198x^39+462x^40+1656x^41+2266x^42+2388x^43+8466x^44+7094x^45+7554x^46+15696x^47+7020x^48+3102x^49+2358x^50+620x^51+96x^52+12x^53+48x^54+6x^55+6x^57

The gray image is a code over GF(3) with n=207, k=10 and d=117.
This code was found by Heurico 1.16 in 2.11 seconds.