The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  3  0  3  0  3  6  6  6  0  0  3  3  0  3  6  6  6  0  0  3  3  0  3  6  6
 0  0  3  6  6  3  0  3  6  0  3  6  3  6  0  0  3  6  0  3  6  3  6  0  0  3

generates a code of length 26 over Z9 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+16x^51+54x^52+8x^54+2x^78

The gray image is a code over GF(3) with n=78, k=4 and d=51.
This code was found by Heurico 1.16 in 0.00184 seconds.