The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  1  0  1  1  1 24  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1  0 26 16  4  1 21 20 24  1 19 21 26 20  0  0
 0  0  9  0  0  0 18 18  9  9  0  9 18 18 18  9  9  9 18  9 18 18  9  0  0  9  0
 0  0  0  9  0  0 18 18 18  0  9 18  0 18  0 18 18  9  9 18  0 18 18 18 18 18  0
 0  0  0  0 18  0 18  9  9 18  9  0 18  9  0 18 18  0  0 18 18 18  9 18 18  9  9
 0  0  0  0  0  9 18  0 18 18 18  9  0  0  9 18  0  9  9  9  9  9  9  0 18  0 18

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

Homogenous weight enumerator: w(x)=1x^0+36x^42+202x^45+150x^46+72x^47+816x^48+564x^49+3168x^50+3638x^51+4614x^52+12096x^53+6812x^54+8004x^55+12186x^56+4734x^57+1164x^58+180x^59+374x^60+84x^61+96x^63+30x^66+20x^69+8x^72

The gray image is a code over GF(3) with n=243, k=10 and d=126.
This code was found by Heurico 1.16 in 3.11 seconds.