The generator matrix

 1  0  0  1  1  1 15  1  1  1  1  1  1  1 21  1 21  1  9  0  1  1  1  1  1  1
 0  1  0 15  1 16  1  0 17 14 26 24  4 20  1 22  1 16  1  1 24 10  9  2 23 24
 0  0  1 25  1 14 16 26 21 16 26  8  5 14 18 21 17 18  2  4  6  4  4 24 13  4
 0  0  0 18 18 18  0  9  0  9 18  0  0  9  9  9 18  0  0  9  9  9 18 18  0  0

generates a code of length 26 over Z27 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+180x^45+630x^46+2040x^47+2484x^48+3024x^49+7290x^50+7324x^51+8202x^52+12384x^53+7608x^54+4086x^55+3036x^56+564x^57+90x^58+36x^59+62x^60+6x^61+2x^72

The gray image is a code over GF(3) with n=234, k=10 and d=135.
This code was found by Heurico 1.16 in 2.47 seconds.