The generator matrix

 1  0  0  0  1  1  1 18 24  1  1  1  1  1  1  1  1  1  1  1  1 21  1  6
 0  1  0  0 18  9  3  6  1 16 13 25 14  2 20 10 21 17 18 23 13 12 11  1
 0  0  1  0 16 21 26  1 25 20 10 22  5 12  1 24 11  6 19 25 12  6  8  0
 0  0  0  1 14 20 25 25  2  1 11 24  8 19  9  4 17 26 21  1 14  1 20  5

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

Homogenous weight enumerator: w(x)=1x^0+1062x^40+2886x^41+5620x^42+8892x^43+25914x^44+26272x^45+55758x^46+78780x^47+85130x^48+98838x^49+81246x^50+36120x^51+16038x^52+7962x^53+626x^54+186x^55+42x^56+46x^57+18x^58+2x^60+2x^63

The gray image is a code over GF(3) with n=216, k=12 and d=120.
This code was found by Heurico 1.16 in 163 seconds.