The generator matrix

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

generates a code of length 32 over Z9 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+168x^51+114x^52+510x^53+680x^54+666x^55+1764x^56+1736x^57+1404x^58+3462x^59+3138x^60+2526x^61+5796x^62+4520x^63+3294x^64+6546x^65+4792x^66+2934x^67+5472x^68+3156x^69+1734x^70+2280x^71+1258x^72+414x^73+384x^74+178x^75+36x^76+30x^77+36x^78+10x^81+8x^84+2x^90

The gray image is a code over GF(3) with n=96, k=10 and d=51.
This code was found by Heurico 1.16 in 18.6 seconds.