The generator matrix

 1  0  1  1  1  1  1  3  1  1  1  6  1  1  1  1  1  1  1  1  1  0  3  6  1  1
 0  1  7  8  3  4  2  1  6  1  5  1  0  7  3  4  8  2  6  1  5  1  1  1  0  3

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

Homogenous weight enumerator: w(x)=1x^0+12x^51+54x^52+8x^54+6x^60

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 0.00155 seconds.