The generator matrix

 1  0  1  1  1  1  1 18  1  0  1  1  1  1  3  1 24  1  1  1 18  1  3  0  1
 0  1  1 26  0 25 17  1  3  1  2 16 23  3  1  1  1 18 21 16 18  9  1  3  6
 0  0 24  0  9  0 15 21 24 24 12 18 12  9 24  3 21 12  9  3  3  3  0  0  6
 0  0  0  3 15 12 21 15  3  6  9  9 12 12  3  6 21 18  0 12 12 24 12 15  0

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

Homogenous weight enumerator: w(x)=1x^0+182x^42+336x^43+1002x^44+1600x^45+2550x^46+3558x^47+5760x^48+6846x^49+11094x^50+10074x^51+7398x^52+4956x^53+2318x^54+744x^55+258x^56+222x^57+102x^58+30x^59+10x^60+6x^61+2x^63

The gray image is a code over GF(3) with n=225, k=10 and d=126.
This code was found by Heurico 1.16 in 2.97 seconds.