The generator matrix

 1  0  0  0  1  1  1 18 24  1  1  1  1  1  1  1  1  1  1 21  1  3  1  1  1
 0  1  0  0 18  9  3  6  1 16 13 25 14  2 20 21 11 25  0  1 12  1 10 10  3
 0  0  1  0 16 21 26  1 25 20 10 22  5 12  1  2  4 23 22 11 10 17  6 23 13
 0  0  0  1 14 20 25 25  2  1 11 24  8 19  9 17 22 21 12 24 23 11 26 24  9

generates a code of length 25 over Z27 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+1362x^42+2700x^43+6642x^44+10278x^45+23358x^46+28536x^47+58470x^48+71238x^49+86202x^50+102760x^51+73170x^52+39114x^53+18528x^54+7350x^55+1326x^56+298x^57+60x^58+18x^59+26x^60+2x^63+2x^66

The gray image is a code over GF(3) with n=225, k=12 and d=126.
This code was found by Heurico 1.16 in 205 seconds.