The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^42+54x^44+64x^45+216x^47+1494x^48+216x^50+24x^51+8x^54+32x^57+2x^60+8x^63+4x^66

The gray image is a code over GF(3) with n=216, k=7 and d=126.
This code was found by Heurico 1.16 in 0.0155 seconds.