The generator matrix

 1  0  1  1  1  0  1  1  3  1  1  3  1  1  1  1  0  3  1  1  1  6  1  6  1  1
 0  1  1  0  7  1  3  7  1  3  4  1  0  3  4  1  1  1  6  6  7  1  4  1  6  1
 0  0  6  3  3  6  6  0  3  3  6  6  6  0  0  3  3  0  0  3  6  0  3  6  6  0

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

Homogenous weight enumerator: w(x)=1x^0+52x^51+162x^52+26x^54+2x^78

The gray image is a code over GF(3) with n=78, k=5 and d=51.
This code was found by Heurico 1.16 in 15.7 seconds.