The generator matrix

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

generates a code of length 29 over Z9 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+732x^51+1354x^54+1518x^57+1374x^60+1118x^63+444x^66+18x^69+2x^72

The gray image is a code over GF(3) with n=87, k=8 and d=51.
This code was found by Heurico 1.16 in 81.2 seconds.