The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1
 0  3  0  0 18  3 21  3 18 21 15 24  9 12  0  6 12  0 24 12 18 12 21 15
 0  0  3  0 21 24 24  9 15 21 18  9 24  3 18  3  9 15 24 21  6  6 18  6
 0  0  0  3 15 12 15 21 18 21 21 18  3  0  6  3 15 24  0 15  6 24 24  6

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

Homogenous weight enumerator: w(x)=1x^0+162x^40+156x^41+396x^42+432x^43+216x^44+380x^45+2118x^46+372x^47+9302x^48+3774x^49+456x^50+574x^51+594x^52+216x^53+240x^54+186x^55+42x^56+40x^57+24x^58+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 0.573 seconds.