The generator matrix

 1  0  0  1  1  1 15  1  1  1  3  1  1 21  1  1  1  1  0  1  1  1  1
 0  1  0  1 15 26  1 19 20 18  1 17 16  1 18 20 25 21  1 11  1 20  9
 0  0  1 26 16 26 22 19 21 20 23 19 15  9 22 12 15  2 23 25 18  2 15
 0  0  0 24 15  9  3 21  3  6 12 15 18 24 21  6 12  9  6  9 15 12 18

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

Homogenous weight enumerator: w(x)=1x^0+342x^38+646x^39+1890x^40+3294x^41+6460x^42+10602x^43+20826x^44+21770x^45+29736x^46+37992x^47+22442x^48+13932x^49+5418x^50+1342x^51+198x^52+162x^53+66x^54+18x^55+6x^56+4x^60

The gray image is a code over GF(3) with n=207, k=11 and d=114.
This code was found by Heurico 1.16 in 18.1 seconds.