The generator matrix

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

generates a code of length 31 over Z9 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+24x^61+36x^62+12x^64+2x^66+4x^69+2x^75

The gray image is a code over GF(3) with n=93, k=4 and d=61.
This code was found by Heurico 1.16 in 0.00264 seconds.