The generator matrix

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

generates a code of length 29 over Z9 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+210x^46+258x^47+662x^48+1056x^49+1062x^50+1548x^51+2292x^52+2340x^53+3064x^54+4080x^55+3942x^56+5038x^57+5730x^58+4728x^59+5236x^60+5142x^61+3594x^62+3058x^63+2640x^64+1308x^65+954x^66+630x^67+258x^68+108x^69+90x^70+6x^71+6x^72+6x^75+2x^78

The gray image is a code over GF(3) with n=87, k=10 and d=46.
This code was found by Heurico 1.16 in 16.8 seconds.