The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  3  1  3  3
 0  9  0  0  0  0  0  0  0  0  0  0  0  9 18 18  9 18  9  9  9  9  9  9
 0  0  9  0  0  0  0  0  9  9 18 18 18 18  0  0  9  0 18  9  0 18  9  0
 0  0  0  9  0  0  0  9 18  0  9 18 18 18  0  9  9  9  9 18 18  9  0  0
 0  0  0  0  9  0  0 18 18  9  0  9 18 18  0  0  0  9  0  9  9  0  9 18
 0  0  0  0  0  9  0 18  9 18  9  0 18 18 18 18  0 18  0  9  0  9 18  9
 0  0  0  0  0  0  9  9  0 18 18  9 18  0  9 18  9  0  0  0 18  9  9  9

generates a code of length 24 over Z27 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+172x^36+18x^38+162x^39+180x^41+306x^42+720x^44+282x^45+1440x^47+13446x^48+1440x^50+252x^51+576x^53+398x^54+162x^57+90x^60+38x^63

The gray image is a code over GF(3) with n=216, k=9 and d=108.
This code was found by Heurico 1.16 in 10.6 seconds.