The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1  1 21  1  0 24  1  1  3
 0  1  7 26 21  4 20  1 24 19 23  1  1 21 16 26  0 24 20  1  4  1  1 24  0 21
 0  0  9  0  0  0 18 18  9  9  9  0  9  9 18  0  9  0  9  9  9  9 18  9  0  0
 0  0  0  9  0  0 18 18 18  0  9 18 18 18  0  0 18  9 18  0  9  9 18  0 18  0
 0  0  0  0 18  0 18  9  9 18 18 18  0  0  9  9  0  0  9 18  0 18  0  9 18 18
 0  0  0  0  0  9 18  0 18 18 18  9  9 18 18  0  0  9  9  9  9  0  0 18  0 18

generates a code of length 26 over Z27 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+126x^42+120x^43+194x^45+1224x^46+3238x^48+5760x^49+1458x^50+12212x^51+11082x^52+2916x^53+12152x^54+7578x^55+298x^57+450x^58+134x^60+30x^61+42x^63+28x^66+2x^69+4x^72

The gray image is a code over GF(3) with n=234, k=10 and d=126.
This code was found by Heurico 1.16 in 3.63 seconds.