The generator matrix

 1  0  0  1  1 15  1  1  1  1  1  1 18  1  1 24 21  1  1  1  1  1  3  1
 0  1  0  0 21  1 25  1 17 14 26 24  1 23 25  1  1 20  1 15  4  2 12 11
 0  0  1  7 14 16  2  1 21 16 26  6  7 14 10 26 18  9  3  8  5 26  1  1
 0  0  0  9 18  0  9  9  0 18  9 18  9  9 18 18 18 18  0  0  0  0 18  0

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

Homogenous weight enumerator: w(x)=1x^0+708x^42+1890x^43+1872x^44+3870x^45+7020x^46+6048x^47+11410x^48+11502x^49+6588x^50+5032x^51+2808x^52+72x^53+96x^54+108x^55+20x^57+2x^60+2x^63

The gray image is a code over GF(3) with n=216, k=10 and d=126.
This code was found by Heurico 1.16 in 2.26 seconds.