The generator matrix

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

generates a code of length 24 over Z27 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+390x^40+612x^41+1996x^42+3918x^43+6840x^44+10702x^45+18972x^46+21336x^47+33208x^48+34512x^49+21942x^50+14510x^51+6144x^52+1656x^53+70x^54+198x^55+102x^56+20x^57+18x^58

The gray image is a code over GF(3) with n=216, k=11 and d=120.
This code was found by Heurico 1.16 in 19.2 seconds.