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

generates a code of length 23 over Z27 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+64x^42+216x^43+60x^45+1620x^46+90x^48+24x^51+108x^52+2x^54+2x^69

The gray image is a code over GF(3) with n=207, k=7 and d=126.
This code was found by Heurico 1.16 in 0.0117 seconds.