The generator matrix

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

generates a code of length 24 over Z27 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+246x^42+162x^44+618x^45+486x^46+648x^47+2038x^48+972x^49+648x^50+418x^51+270x^54+50x^57+2x^60+2x^63

The gray image is a code over GF(3) with n=216, k=8 and d=126.
This code was found by Heurico 1.16 in 0.0726 seconds.