The generator matrix

 1  0  1  1  1  1  1 18  1 24  1  1  0  1  1 24  1  1  1  1  3  0  1
 0  1  1 26  0 25 17  1 18  1 25 23  1 20 19  1 26  7 21  8  0  1 25
 0  0 24  0  9  3 21  3 21  6 12 18 21 12  9  0 15 15 21 15  3  0 12
 0  0  0  3 15  9 15 15  9  0  6 15 21  3  6 15 24 12  3  3  6  3  0

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

Homogenous weight enumerator: w(x)=1x^0+150x^38+168x^39+792x^40+1512x^41+2114x^42+3450x^43+6054x^44+6584x^45+12450x^46+11430x^47+7006x^48+4392x^49+2088x^50+344x^51+258x^52+138x^53+60x^54+42x^55+12x^56+2x^57+2x^60

The gray image is a code over GF(3) with n=207, k=10 and d=114.
This code was found by Heurico 1.16 in 2.65 seconds.