The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 19 24  1 23 26 16 20  0 20 16 21 23 16  0 21 16
 0  0  9  0  0  0 18  9 18  9  9  9  9  9  9 18  0 18 18 18  0  0  0  0
 0  0  0  9  0  9  9  9 18 18  0 18  0  9 18  9  9 18 18  9  0  9 18 18
 0  0  0  0 18 18  0 18 18  9 18 18  9  0  0  9  9  0  9  9  9  9  0 18

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

Homogenous weight enumerator: w(x)=1x^0+66x^40+72x^41+258x^42+216x^43+576x^44+1132x^45+3246x^46+1728x^47+2160x^48+6288x^49+1818x^50+1502x^51+306x^52+180x^53+24x^54+84x^55+20x^60+4x^63+2x^69

The gray image is a code over GF(3) with n=216, k=9 and d=120.
This code was found by Heurico 1.16 in 15.9 seconds.