The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  0  1  1
 0  3  0  9 24 21  3 15 24  9  9 15 12 15 24 21 18  6  0 24 21  3  0  3 12  3
 0  0  3 15  9  6  3 21 15  0  6 18 24 12 24 12 24 12 18 18 15 12 21 18 15 12

generates a code of length 26 over Z27 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+138x^48+90x^49+312x^50+210x^51+666x^52+456x^53+136x^54+24x^55+42x^56+48x^57+24x^58+30x^60+6x^61+2x^63+2x^72

The gray image is a code over GF(3) with n=234, k=7 and d=144.
This code was found by Heurico 1.16 in 2.12 seconds.