The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  0  1  1  1  0  1  1  1  0  1  1  1  1  1  1  1  1  3
 0  1  1  8  0  1  8  1  0  7  8  1  7  0  8  1  3  7  8  1  0  7  8  0  7  6  3  2  0
 0  0  6  0  0  0  0  0  0  0  0  0  0  3  3  6  3  6  3  6  3  6  6  6  3  6  6  3  0
 0  0  0  3  0  0  0  0  3  6  3  6  3  6  6  6  0  6  6  0  3  3  6  0  6  6  6  0  0
 0  0  0  0  3  0  0  3  6  6  3  3  0  6  6  6  6  6  0  3  6  6  0  3  3  0  3  3  0
 0  0  0  0  0  6  0  6  3  0  3  3  6  3  3  6  6  3  6  6  6  6  6  3  6  3  0  6  3
 0  0  0  0  0  0  3  6  0  6  6  3  3  0  6  6  0  0  6  6  0  6  0  3  6  3  3  0  0

generates a code of length 29 over Z9 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+6x^44+142x^45+6x^46+78x^47+390x^48+72x^49+288x^50+824x^51+360x^52+564x^53+1800x^54+960x^55+942x^56+2638x^57+1440x^58+1206x^59+2620x^60+1152x^61+834x^62+1690x^63+384x^64+384x^65+574x^66+72x^68+172x^69+66x^72+16x^75+2x^78

The gray image is a code over GF(3) with n=87, k=9 and d=44.
This code was found by Heurico 1.16 in 50.6 seconds.