The generator matrix

 1  0  1  1  1  1  1 18  1  1 21  1 21  1  1  1  1  1 24  1  1  1  1  1  1
 0  1  1 26  7 18 17  1 25 20  1  3  1 24  4 23  1  2  1 15 23  0 15  4 24
 0  0 24  0  0 21 21 21  3 15  9  3  6  9  6 24  3 21 24 21  0  9  3  6 24
 0  0  0  9  0 18  9  9  9  0  0  0  9  9 18  9  9  0 18  0  9 18  0  9  0
 0  0  0  0  9  0  0  9  9 18  9 18 18 18  0  0  0  9 18  0 18 18  9  0 18

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

Homogenous weight enumerator: w(x)=1x^0+276x^42+210x^43+486x^44+912x^45+3834x^46+1914x^47+4080x^48+13740x^49+8022x^50+6738x^51+13704x^52+2520x^53+1622x^54+522x^55+174x^56+168x^57+66x^58+6x^59+42x^60+12x^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 17.7 seconds.