The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  1  0  1  1  1  1  1  1  1  1  1  1
 0  3 24  0 21 24  0 21 24  9 21 24 21 21 24 24  3  0  0  6  9 15 24  0 15 18  0
 0  0  9  0  0  0  0 18  9  0  9 18  9  9  0  0  9  0 18  9 18  9 18 18  9  9  0
 0  0  0  9  0  0  0  0  0  9  9 18  9 18 18  0 18 18  0 18  0 18 18  9  0 18  0
 0  0  0  0 18  0  9 18  9  9  0  9  0  9  9  9  9  9 18  9  9  0  9  0 18 18  0
 0  0  0  0  0  9  9  0 18  9 18  9  9  9 18  9  0  0  0 18 18  0 18 18 18 18  0

generates a code of length 27 over Z27 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+40x^42+48x^43+6x^44+162x^45+114x^46+60x^47+358x^48+192x^49+240x^50+604x^51+4668x^52+480x^53+1158x^54+9036x^55+480x^56+940x^57+348x^58+192x^59+202x^60+144x^61+106x^63+30x^64+52x^66+18x^69+4x^72

The gray image is a code over GF(3) with n=243, k=9 and d=126.
This code was found by Heurico 1.16 in 0.732 seconds.