The generator matrix

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

generates a code of length 32 over Z9 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+18x^52+108x^53+388x^54+252x^55+300x^56+1008x^57+492x^58+600x^59+1726x^60+720x^61+906x^62+2604x^63+1170x^64+1116x^65+2744x^66+1068x^67+804x^68+1762x^69+504x^70+444x^71+588x^72+144x^73+96x^74+68x^75+6x^76+22x^78+10x^81+14x^84

The gray image is a code over GF(3) with n=96, k=9 and d=52.
This code was found by Heurico 1.16 in 68.8 seconds.